Social media users have lambasted US President Donald Trump over his reaction to deadly violence in the US city of Charlottesville as far-right activists took to the streets and clashed with counter-protesters.

After one person was killed and several injured in a car ramming that hit anti-racist demonstrators on Saturday, Trump said in a press conference: "We condemn in the strongest possible terms this egregious display of hatred, bigotry and violence on many sides, on many sides."

Speaking from his private golf club in New Jersey, he said: "It has been going on for a long time in our country - not Donald Trump, not Barack Obama. It has been going on for a long, long time. It has no place in America."

nazis literally murder someone in broad daylight and people are still talking about "both sides." — darrylayo (@darrylayo) August 12, 2017

Organised by far-right public figure Jason Kessler, a former journalist, Saturday's "Unite the Right" rally in Charlottesville, Virginia, was slated as one of the largest white supremacist rallies in the country's recent history.

READ MORE: Unite the Right - White supremacists rally in Virginia

Twitter users quickly responded to Trump's comments. Many of them accused Trump of intentionally neglecting to blame the far-right activists for the violence.

President Trump condemns vague concept of badness — Pixelated Boat (@pixelatedboat) August 12, 2017

Trump won't say the words "white nationalist terrorists" because that describes his voters, staff, family, and self. — CJ Werleman (@cjwerleman) August 12, 2017

Others derided Trump for his apparent double standard when it comes to acts of violence committed by white supremacists and those carried out by Muslims.

In the past, Trump has condemned "radical Islamic terrorism" on several occasions.

If a Muslim drove that car in #Charlottesville, Trump would call it terrorism and millions of Muslims would be bracing for the backlash. — Khaled Beydoun (@KhaledBeydoun) August 12, 2017

The Trump bar is so low, its seen as an act of courage - rather than something that should be standard - for politicians to condemn Nazis — David Sirota (@davidsirota) August 12, 2017

US Senator Corey Gardner, who is a member of Trump's Republican Party, called on the president to call the violence in Charlottesville "domestic terrorists".

Mr. President - we must call evil by its name. These were white supremacists and this was domestic terrorism. https://t.co/PaPNiPPAoW — Cory Gardner (@SenCoryGardner) August 12, 2017

Increasing clashes

Unite the Right was the third rally of its kind in Charlottesville throughout the past four months.

Far-right groups supported Trump's campaign and celebrated his electoral victory last November, seeing common cause in his efforts to limit immigration and repeal affirmative action, among other policies.

David Duke, the former leader of the Ku Klux Klan, a white supremacist organisation, praised Trump while speaking to reporters at Saturday's rally.

READ MORE: Alt-right rally - Charlottesville braces for violence

"This represents a turning point for the people of this country," he said. "We are determined to take our country back. We're going to fulfill the promises of Donald Trump. That's what we believed in, that's why we voted for Donald Trump ... because he said he's going to take our country back. And that's what we've got to do."

White nationalist Richard Spencer told the Associated Press he doesn't take responsibility for the violence and accused police of endangering lives in how they handled the rally.

"The idea that I could be held responsible is absurd. It's like blaming the fire department for a fire," said Spencer.

He also said he found Trump's comments on the Charlottesville violence to be "rather vague and kind of lame".

Pointing to white supremacist groups' support for Trump, other social media users mocked Trump's statement.

On Friday, hundreds of white supremacists marched at the University of Virginia, also located in Charlottesville, and clashed with a small group of students who held a counter-protest.

These are literally young UVA students age 17-23 standing up to a sea of white supremacists and neo-Nazis surrounding them #Charlottesville pic.twitter.com/VEU3mU9d3o — sophia armen (@SophiaArmen) August 12, 2017

The white supremacist group chanted "white lives matter" and "blood and soil".

Other white supremacist marchers yelled: "You will not replace us."