Speaking at a news conference in New York, Trump also said he was planning to effectively terminate the North American Free Trade Agreement and impose steep tariffs on all automotive imports from Canada to the United States.
Trump made the remarks during a news conference in NY on Wednesday when he was asked if he had, in fact, snubbed Trudeau.
Trudeau's remarks at his closing news conference, where he called USA steel and aluminum tariffs "insulting" and said he would proceed with counter-tariffs, set off Trump and prompted him to revoke his support for that summit's closing statement. He called that the "mother lode".
Trudeau spokeswoman Eleanore Catenaro said in response: "No meeting was requested".
Mr Trump's comments were made as Nafta talks continue to drag on.
"The fact is that Canada is not making concessions in areas that we think are essential", the USA official said. "Very bad for us", Trump said.
U.S. President Donald Trump says he rejected a request for a one-on-one meeting with Prime Minister Justin Trudeau to discuss NAFTA this week because Canada's tariffs are too high and the country's negotiators have refused to budge.
Trump did not say what representative he meant.
He suggested there is deep mistrust in Chrystia Freeland, the lead Canadian trade negotiator, and her team.
"We are continuing to work on getting to a right deal for Canada, a right deal for Canadians".
Disputes have also arisen between over President Trump's request for increased access to Canada's protected dairy market.
Meanwhile, analysts with JPMorgan Chase predict that if the United States and Mexico proceed with the deal alone, the Canadian dollar would be gravely impacted. "And that involves, obviously, feeling confident about the path forward as we move forward - if we do - on a NAFTA 2.0 and the ... lack of punitive tariffs that we consider are unjust", Trudeau said.
He then reiterated his threat to slap punitive tariffs on Canadian auto imports to the US, a both-barrels tactic experts on either side of the border have warned would devastate the industry.
He said that he will let the Mexican trade deal go through Congress as federal policy requires, but hopes it will come to legal fruition.
Treasury Secretary Steve Mnuchin previously said the president does want to secure a new trade deal with Canada regardless of when or how it happens. Both leaders have agreed that the revised NAFTA deal should be signed into law before Andres Manuel Lopez Obrador assume the presidency by December. "If Canada comes along now, that would be the best".
Trudeau's interactions with the mercurial US president have been a subject of great curiosity over the course of his three days at the General Assembly.