Before joining The Times, Mr. Thrush was the chief political correspondent at Politico and a senior staff writer for Politico Magazine. He has also worked at Newsday.

In the article, Ms. McGann, Vox’s editorial director, said that Mr. Thrush had put his hand on her thigh and started to kiss her at a bar near Politico’s headquarters five years ago. She was a Politico editor at the time, and Mr. Thrush was a reporter. The next day, she wrote, she saw him talking to male colleagues. Later, she reported that she felt some men in the Politico office began to look at her differently than they had before.

In his statement, Mr. Thrush said his recollection differed from Ms. McGann’s.

“The encounter was consensual, brief and ended by me,” he said. “She was an editor above me at the time and I did not disparage her to colleagues at Politico as she claims.”

Another woman interviewed by Vox described an interaction with Mr. Thrush that occurred in June, when he attended a going-away party for one of his former Politico colleagues. The woman, who is in her early 20s, according to the Vox article, said he suggested they go for a walk outside. After they left the party, she said, Mr. Thrush kissed her and tried to hold her hand. In his statement, Mr. Thrush said the June episode “was a life-changing event.”

“The woman involved was upset by my actions and for that I am deeply sorry,” he said.

He added: “Over the past several years, I have responded to a succession of personal and health crises by drinking heavily. During that period, I have done things that I am ashamed of, actions that have brought great hurt to my family and friends. I have not taken a drink since June 15, 2017, have resumed counseling and will soon begin outpatient treatment for alcoholism. I am working hard to repair the damage I have done.”

A third woman interviewed by Vox described an encounter with Mr. Thrush after the two of them left a Politico going-away party sometime in late 2012 or early 2013. She said that they had gone to her apartment but that the encounter ended after she reminded Mr. Thrush that he was married. She told Vox she did not believe he had pressured her, and did not consider herself a victim.