President Donald Trump said Friday he will work with South Korean President Moon Jae-in on dealing with the "menace known as North Korea."

"The era of strategic patience with the North Korean regime has failed, many years that it's failed and, frankly, that patience is over," Trump said.

The U.S. and South Korea are trying to curb the isolated and defiant nation's missile and nuclear programs.

Appearing with Moon in the White House Rose Garden, Trump renewed calls for a "determined response" to North Korea's nuclear and ballistic missile programs. The U.S. on Thursday announced new sanctions aiming to put more pressure on North Korea.

Trump also criticized Pyongyang's human rights record.

"The North Korean dictatorship has no regard for the safety and security of its own people, or its neighbors, and has no respect for human life — and that's been proven, over and over again," he said.

Trump said the death of 22-year-old American student Otto Warmbier was a travesty. Earlier this month, Warmbier died shortly after being returned from North Korea in a coma. North Korea claims he had suffered from botulism, but U.S. doctors found no such evidence.

The relationship between the U.S. and South Korea "is a cornerstone of peace and security in a very, very dangerous part of the world," Trump said.