NEW YORK — Chalk up another oddball appearance with David Letterman for actor Joaquin Phoenix, who announced his “engagement” on the CBS late-night host’s talk show only to say hours later on Tuesday that it was a joke.

Before he came clean on “Good Morning America,” news of Phoenix’s supposed impending wedding to his yoga instructor spread widely on several legitimate news sources.

“I can get engaged again if you like,” Phoenix told ABC’s George Stephanopoulos after telling him he wasn’t really ready to get hitched.

Phoenix’s oddball appearance on Letterman’s “Late Show” in February 2009, punctuated by several moments of uncomfortable silence, became one of late-night TV’s first viral videos. Letterman memorably called that session to a close by saying, “I’m sorry you couldn’t be here tonight.”

On the “Late Show” on Monday, Phoenix got down on the stage to demonstrate “the harnessing of the hog,” a supposed move his yoga instructor had taught him.

“This is the crazy part of the story,” Phoenix said upon returning to Letterman’s couch. “We started dating and I think she’s the one. I proposed to her and she said yes.”

Letterman seemed physically taken aback by the statement, pushing his chair back from his desk.

“You’re getting married?” he said.

Yes, said Phoenix, if everything works out.