President-elect Donald J. Trump, who has both derided Time magazine and pined for its approval, was named the publication’s person of the year on Thursday.

Mr. Trump also received the title in 2016, after his first presidential election victory, and now joins a group of 16 people who have been chosen more than once. The club includes the last three two-term presidents: Bill Clinton, George W. Bush and Barack Obama. (Franklin D. Roosevelt is the only person to have been given the title three times.)

Sam Jacobs, Time’s editor in chief, wrote in the magazine that the choice was not a difficult one: “On the cusp of his second presidency, all of us — from his most fanatical supporters to his most fervent critics — are living in the Age of Trump.”

Mr. Trump, who rang the opening bell at the New York Stock Exchange on Thursday morning, has had a tempestuous relationship with Time. After being named person of the year in 2016, he described the magazine as a “very important” publication and said it had granted him a “tremendous honor.”

But Mr. Trump, who had won a polarizing presidential race in which he lost the popular vote, bristled at Time’s cover, which described him as “president of the divided states of America.”

“I didn’t divide,” he objected in an interview with Matt Lauer on NBC’s “Today” show, adding: “We’re going to put it back together. And we’re going to have a country that’s very well healed.”

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