Laura McGann, a Politico colleague of Thrush's, wrote on Vox today that Thrush kissed her and placed his hand on her thigh one night in a bar, after urging another person who had been sitting with them to leave.
The Times, in a statement, said "the alleged behavior is very concerning" and not in keeping with the Times' standards.
The newspaper said it supports Thrush's decision to enter a substance abuse programme. Thrush didn't immediately return a message seeking comment, but told Vox that he apologized to any woman who felt uncomfortable in his presence.
McGann, who was an editor at Politico, said the incident happened five years ago at a Virginia bar that was a hangout for Politico employees. The incident made her angry, even more so when she said Thrush spread stories blaming her.
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In his statement to Vox, Thrush described the encounter with McGann as "brief, consensual and ended by me." He said he didn't disparage her.
Another woman in the story talks about a consensual drunken encounter with Thrush five years ago that left her rattled, and a fourth woman who was surprised by an unexpected kiss.
The Times' story this fall about sexual harassment involving Hollywood mogul Harvey Weinstein has unleashed a torrent of stories about sexual behavior. In the media, such stories have cost NBC News political analyst Mark Halperin and National Public Radio chief Michael Oreskes their jobs.