WASHINGTON — President Trump plans to meet President Vladimir V. Putin of Russia next month in a one-on-one summit meeting, a politically sensitive encounter that could exacerbate strains with NATO allies even if it eases tensions between the United States and Russia.

It would be the first formal summit meeting specifically for Mr. Trump and Mr. Putin, who have met twice at annual gatherings of world leaders. And it comes at a particularly delicate moment, with midterm elections looming in the United States and the special counsel’s investigation of Mr. Trump’s ties to Russia grinding on.

But the president has expressed a determination to meet with Mr. Putin, administration officials said, especially in the aftermath of his encounter with Kim Jong-un, the leader of North Korea, which Mr. Trump celebrated as a diplomatic triumph — even if it has produced little in the way of tangible results.

Mr. Trump dispatched to Moscow his national security adviser, John R. Bolton, who met on Wednesday with Mr. Putin. Afterward, Mr. Bolton said a time and place for the meeting would be announced Thursday. Other administration officials said Helsinki, Finland, was a prime candidate.