WASHINGTON — There are few things that President Vladimir V. Putin of Russia desires more than the weakening of NATO, the military alliance among the United States, Europe and Canada that has deterred Soviet and Russian aggression for 70 years.

Last year, President Trump suggested a move tantamount to destroying NATO: the withdrawal of the United States.

Senior administration officials told The New York Times that several times over the course of 2018, Mr. Trump privately said he wanted to withdraw from the North Atlantic Treaty Organization. Current and former officials who support the alliance said they feared Mr. Trump could return to his threat as allied military spending continued to lag behind the goals the president had set.

In the days around a tumultuous NATO summit meeting last summer, they said, Mr. Trump told his top national security officials that he did not see the point of the military alliance, which he presented as a drain on the United States.