Trump said he requested Bolton's resignation while Bolton maintained that he offered his resignation.
He added, "I wish John the best". "Actually, in some cases he thought it was too tough what we were doing. Mr".
Speaking to reporters at the White House, Trump said Bolton, who he abruptly fired on Tuesday, was also out of line on Venezuela, which has been another of the administration's top foreign policy challenges. South Korea's military said the two North Korean projectiles fired Tuesday flew about 330 kilometres (205 miles) in the direction of the waters off the North's east coast. And a lot of us, including me, disagree with some of your tactics and some of your ideas.
Bolton was an enthusiastic backer of both Iraq wars, which the president has said he opposed.
The president said he now has five people under consideration for Bolton's replacement, including the State Department's special envoy for Iran Brian Hook, national security adviser to Vice President Pence, Keith Kellogg, and Rick Waddell, who previously served under McMaster on the National Security Council.
Trump had been growing more impatient with the failure to oust socialist Venezuelan President Nicolas Maduro through a US -led campaign of sanctions and diplomacy in which Bolton was a driving force.
Trump was asked whether he would consider easing sanctions on Iran to secure a meeting with its leader President Hassan Rouhani at this month's UN General Assembly and replied, "We'll see what happens".
Bolton was conspicuously absent from Trump's last meeting with Kim Jong Un.
All that almost fell apart in Hanoi when Trump followed Bolton's advice and handed Kim a piece of paper that bluntly called for the transfer of Pyongyang's nuclear weapons and bomb fuel to the United States.
Last month, the North's leader sent a letter to U.S. President Donald Trump and vowed to stop those military acts when the joint exercise concluded.
Some observers say the launches may be an attempt by the North to put pressure on Washington to reopen negotiations.
North Korea yesterday morning fired two unidentified projectiles, the South Korean Joint Chiefs of Staff (JCS) said, hours after a senior diplomat announced that Pyongyang would be willing to resume negotiations with the USA later this month.
Washington has given no indication that it will soften its demand for North Korea's ultimate denuclearization, even though with Bolton gone, the risky all-or-nothing gambit is unlikely to be repeated so bluntly.
She warned that "if the U.S. side fingers again the worn-out scenario which has nothing to do with new decision methods at the DPRK-U.S. working negotiation to be held with so much effort, the DPRK-U.S. dealings may come to an end".