Donald Trump has given a rambling and at times incoherent response to questions about gun control in the wake of two recent mass shootings in Texas and Ohio.

Responding to reporters in New Jersey before heading back to the White House on Sunday, the US president raised the prospect of building more “mental institutions” to deal with a gun violence epidemic killing thousands of Americans annually.

“I don't want people to forget that this is a mental health problem. I don't want them to forget that, because it is. It's a mental health problem,” Mr Trump said, adding vaguely that congressional committees were “working on background checks and various other things”.

“It's the people that pull the trigger, it’s not the gun that pulls the trigger,” Mr Trump continued, echoing a favourite Republican talking point that ignores statistics showing other countries with stricter gun control measures suffer far lower levels of gun violence.

Asked if he would support banning high-capacity magazines, such as the one used by a shooter in Dayton, Ohio, earlier this month, Mr Trump dodged the question, and instead ranted about the closure of hospitals for the mentally ill.

Trump protests: President visits Texas and Ohio after mass shootings Show all 31 1 /31 Trump protests: President visits Texas and Ohio after mass shootings Trump protests: President visits Texas and Ohio after mass shootings Miami Valley Hospital, Dayton Demonstrators chant as they protest the arrival of President Donald Trump outside Miami Valley Hospital after a mass shooting that occurred in the Oregon District AP Trump protests: President visits Texas and Ohio after mass shootings El Paso Trump headed to El Paso, after visiting Dayton, Ohio to offer a message of healing and unity, but he was met by hostility in both places by people who fault his own incendiary words as a contributing cause to the mass shootings AP Trump protests: President visits Texas and Ohio after mass shootings El Paso, University Medical Centre US President Donald Trump greets first responders as he visits El Paso Regional Communications Centre AFP/Getty Trump protests: President visits Texas and Ohio after mass shootings El Paso, University Medical Centre An anti-Trump protestor holds a sign as police are lined up outside University Medical Centre Getty Trump protests: President visits Texas and Ohio after mass shootings El Paso Demonstrators hold a sign as the motorcade carrying President Donald Trump departs a joint operations center after meeting with first responders after the El Paso mass shooting, Wednesday, Aug. 7, 2019, in El Paso, Texas. (AP Photo/Evan Vucci) Evan Vucci AP Trump protests: President visits Texas and Ohio after mass shootings El Paso Anti-Trump protesters hold a banner outside the makeshift memorial to the victims of the WalMart shooting that left a total of 22 people dead, in El Paso, Texas, on August 7, 2019. - President Donald Trump consoled victims of a mass shooting in Ohio on Wednesday but protesters and opponents denounced what they say is his extremist rhetoric on race and immigration. The president's trip to Dayton, where nine people were gunned down over the weekend, was to be followed immediately after by a stop in the border city of El Paso, Texas, where 22 were murdered. (Photo by Mark RALSTON / AFP)MARK RALSTON/AFP/Getty Images MARK RALSTON AFP/Getty Trump protests: President visits Texas and Ohio after mass shootings Miami Valley Hospital, Dayton Demonstrators gather to protest the arrival of President Donald Trump outside Miami Valley Hospital after a mass shooting that occurred in the Oregon District early Sunday morning, Wednesday, Aug. 7, 2019, in Dayton. Twenty-four-year-old Connor Betts opened fire in Dayton early Sunday, killing several people including his sister, before officers fatally shot him. (AP Photo/John Minchillo) John Minchillo AP Trump protests: President visits Texas and Ohio after mass shootings El Paso Democratic presidential candidate Beto ORourke hugs a woman at a makeshift memorial outside Walmart honoring victims of the mass shooting there which left 22 people dead. Getty Trump protests: President visits Texas and Ohio after mass shootings El Paso Anti-Trump protesters hold signs outside the makeshift memorial to the victims of the WalMart shooting that left a total of 22 people dead, in El Paso, Texas, on August 7, 2019. - President Donald Trump consoled victims of a mass shooting in Ohio on Wednesday but protesters and opponents denounced what they say is his extremist rhetoric on race and immigration. The president's trip to Dayton, where nine people were gunned down over the weekend, was to be followed immediately after by a stop in the border city of El Paso, Texas, where 22 were murdered. (Photo by Mark RALSTON / AFP)MARK RALSTON/AFP/Getty Images MARK RALSTON AFP/Getty Trump protests: President visits Texas and Ohio after mass shootings El Paso Marisela Hernandez holds sign to protest the visit of President Donald Trump to the border city after the Aug. 3 mass shooting in El Paso, Texas, Wednesday, Aug. 7, 2019. Aiming to play the traditional role of healer during national tragedy, President Donald Trump paid visits Wednesday to cities reeling from the mass shootings. (AP Photo/Andres Leighton) Andres Leighton AP Trump protests: President visits Texas and Ohio after mass shootings El Paso, University Medical Centre An anti-Trump demonstrator holds up a placard outside the University Medical Center, where U.S. President Donald Trump holds a meeting with first responders in the wake of last weekend's mass shootings at a Walmart store, in El Paso, Texas, U.S., August 7, 2019. REUTERS/Jose Luis Gonzalez JOSE LUIS GONZALEZ Reuters Trump protests: President visits Texas and Ohio after mass shootings El Paso, University Medical Centre President Trump and First Lady Melania Trump greet PFC Glendon Oakley (second right), who saved several lives during the mass shooting in Texas AFP/Getty Trump protests: President visits Texas and Ohio after mass shootings Miami Valley Hospital, Dayton Demonstrators chant as they protest the arrival of President Donald Trump outside Miami Valley Hospital after a mass shooting that occurred in the Oregon District early Sunday morning, Wednesday, Aug. 7, 2019, in Dayton. (AP Photo/John Minchillo) John Minchillo AP Trump protests: President visits Texas and Ohio after mass shootings El Paso, University Medical Centre An anti-Trump demonstrator holds up a placard as police block the area outside the University Medical Center, where U.S. President Donald Trump holds a meeting with first responders in the wake of last weekend's mass shootings at a Walmart store, in El Paso, Texas, U.S., August 7, 2019. REUTERS/Jose Luis Gonzalez JOSE LUIS GONZALEZ Reuters/Amanda Voisard Trump protests: President visits Texas and Ohio after mass shootings El Paso Beto ORourke consoles a man at the makeshift memorial outside Walmart Getty Trump protests: President visits Texas and Ohio after mass shootings El Paso, University Medical Centre An anti-Trump demonstrator yells near police outside the University Medical Centre Reuters Trump protests: President visits Texas and Ohio after mass shootings El Paso TOPSHOT - El Paso residents protest against the visit of US President Donald Trump to the city after the Walmart shooting that left a total of 22 people dead, in El Paso, Texas, on August 7, 2019. - President Donald Trump consoled victims of a mass shooting in Ohio on Wednesday but protesters and opponents denounced what they say is his extremist rhetoric on race and immigration. The president's trip to Dayton, where nine people were gunned down over the weekend, was to be followed immediately after by a stop in the border city of El Paso, Texas, where 22 were murdered. (Photo by Mark RALSTON / AFP)MARK RALSTON/AFP/Getty Images MARK RALSTON AFP/Getty Images Trump protests: President visits Texas and Ohio after mass shootings Dayton President Donald Trump and First Lady Melania Trump arrive at Wright-Patterson Air Force Base AP Trump protests: President visits Texas and Ohio after mass shootings El Paso Makeshift memorial for victims of the shooting that left a total of 22 people dead at the Cielo Vista Mall Walmart AFP/Getty Images Trump protests: President visits Texas and Ohio after mass shootings Miami Valley Hospital, Dayton Demonstrators gather to protest the arrival of President Donald Trump outside Miami Valley Hospital after a mass shooting that occurred in the Oregon District early Sunday morning, Wednesday, Aug. 7, 2019, in Dayton. (AP Photo/John Minchillo) John Minchillo AP Trump protests: President visits Texas and Ohio after mass shootings President Trump greets Dayton Mayor Nan Whaley as he arrives at Wright-Patterson Air Force Base AFP/Getty Trump protests: President visits Texas and Ohio after mass shootings Miami Valley Hospital, Dayton Demonstrators gather to protest the arrival of President Donald Trump outside Miami Valley Hospital after a mass shooting that occurred in the Oregon District early Sunday morning, Wednesday, Aug. 7, 2019, in Dayton, Ohio. Twenty-four-year-old Connor Betts opened fire in Dayton early Sunday, killing several people including his sister, before officers fatally shot him. (AP Photo/John Minchillo) John Minchillo AP Trump protests: President visits Texas and Ohio after mass shootings Dayton Damon Smith presents a message to President Donald Trump beside a makeshift memorial in Dayton AP Trump protests: President visits Texas and Ohio after mass shootings Miami Valley Hospital, Dayton Demonstrators gather in front of an inflatable "Baby Trump" to protest the presidents arrival AP Trump protests: President visits Texas and Ohio after mass shootings Miami Valley Hospital, Dayton Demonstrators gather to protest the arrival of President Donald Trump outside Miami Valley Hospital after a mass shooting that occurred in the Oregon District early Sunday morning, Wednesday, Aug. 7, 2019, in Dayton. President Donald Trump is headed to Dayton and El Paso, Texas on Wednesday to offer a message of healing and unity, but he will be met by unusual hostility in both places by people who fault his own incendiary words as a contributing cause to the mass shootings . (AP Photo/John Minchillo) John Minchillo AP Trump protests: President visits Texas and Ohio after mass shootings El Paso A photo of victim Javier Amir Rodriguez, a 15-year-old sophomore Getty Trump protests: President visits Texas and Ohio after mass shootings Dayton Demonstrators protest the visit of US President Donald Trump to the site of the mass shooting in Dayton, Ohio, on August 7, 2019. - Nine people were killed on August 4 in the city's popular Oregon District. (Photo by Megan JELINGER / AFP)MEGAN JELINGER/AFP/Getty Images MEGAN JELINGER AFP/Getty Trump protests: President visits Texas and Ohio after mass shootings El Paso A message is left for Donald Trump AFP/Getty Trump protests: President visits Texas and Ohio after mass shootings El Paso Signs and flags adorn the makeshift memorial for victims of the shooting that left a total of 22 people dead at the Cielo Vista Mall Walmart, in El Paso, Texas, on August 7, 2019. (Photo by Mark RALSTON / AFP)MARK RALSTON/AFP/Getty Images MARK RALSTON AFP/Getty Trump protests: President visits Texas and Ohio after mass shootings El Paso People hug at the makeshift memorial AFP/Getty Trump protests: President visits Texas and Ohio after mass shootings El Paso People pray at the makeshift memorial AFP/Getty

“You have to remember, also, it's a big mental - I was talking about mental institutions. They closed so many, like 92 per cent, of the mental institutions around this country over the years, for budgetary reasons,” Mr Trump said.

“These are people that have to be in institutions for help. I'm not talking about as a form of a prison. I'm saying for help. And I think it's something we have to really look at, the whole concept for mental institutions.”

“I remember, growing up, we had mental institutions. Then they were closed - in New York, I'm talking about. They were - many of them were closed. A lot of them were closed. And all of those people were put out on the streets. And I said, even as a young guy, I said, 'How does that work? That's not a good thing'. And it's not a good thing. So I think the concept of mental institution has to be looked at.”

Although psychiatric hospitals in the US have declined in recent decades, the reasons are various, including budget cuts but also because newer laws make it harder for authorities to involuntarily commit people to institutions.

It is not clear where Mr Trump obtained his figure of 92 per cent.

Unprompted, Mr Trump then moved onto the issue of voter identification, a topic the president has often muddied by pushing conspiracy theories about voter fraud, which he wrongly claims caused him to lose the 2016 popular vote.

“Unrelated to that, I believe that the concept also of voter identification has to be looked at, because you can't have great security for the voter. People that vote, you can't have that national security unless you're going to have voter identification,” he said.