The White House said Mr Trump and Mr Xi had a telephone conversation after the US President and his aides publicly discussed potential military action against Kim’s bloodthirsty regime.
It appears the US is continuing to exert pressure on North Korea’s only ally China to use any influence it has.
A White House spokesman said: “The two leaders committed to maximising pressure on North Korea through vigorous enforcement of United Nations Security Council resolutions.
Mr Trump made the call while attending his first United Nations General Assembly, where building international unity to confront the nuclear threat from North Korea tops his agenda.
Mr Xi is not attending the annual gathering of world leaders in New York.
The US President will have several meetings about North Korea on the sidelines of the UN General Assembly.
The international response to dictator Kim Jong-un is also expected to be a chief topic in Mr Trump’s address to the assembly Tuesday.
Mr Trump said he was “more confident than ever that our options in addressing this threat are both effective and overwhelming”.
The US President says he has not ruled out a military option in the crisis and the US Air Force flew four F-35B stealth fighter jets and two B-1B bombers over the Korean peninsula earlier today.
North Korea, which carried out more missile tests last Friday, has bitterly denounced new sanctions on its economy as “vicious, unethical and inhumane” and warned the measures would only accelerate progress on its nuclear weapons programme.
The UN Security Council last week imposed a new raft of sanctions on North Korea, slapping an export ban on textiles, freezing work permits to North Korean guest workers and placing a cap on oil supplies.
Pyongyang says it needs nuclear weapons to protect itself from US forces and is determined to build a weapons system capable of delivering a nuclear warhead capable of hitting the American mainland.
A foreign ministry statement said the sanctions were an “act of hostility to physically exterminate the people of” North Korea.
The statement said: “The increased moves of the US and its vassal forces to impose sanctions and pressure on North Korea will only increase our pace towards the ultimate completion of the state nuclear force.”