Martin Short will say goodbye to Broadway after the holidays.

“Martin Short: Fame Becomes Me,” the musical skewering of celeb bio shows, closes Jan. 7 after a run of 22 previews and 165 regular perfs. Production opened on Broadway Aug. 17.

The “Fame” announcement comes hot on the heels of the closing notice for “High Fidelity,” the box office nonstarter that will shutter Sunday, just a week after opening.

But “Fame,” in contrast, earned good reviews and built up solid if unspectacular biz since its summer bow. For the last several weeks the tuner’s grosses have hovered in the $400,000 range, last week reporting sales of $491,262.

The show hasn’t yet recouped its original capitalization, but producer Scott Zeiger said every week of the run was profitable.

Short and the production will head out for a 35-week national tour in 2007.

For “Fame,” Short teamed with “Hairspray” creatives Scott Wittman (who directed and and co-wrote the lyrics) and Marc Shaiman, who composed the music, co-wrote the lyrics and also appeared as the on-stage musical director.

Show got a profile boost from one-perf-only appearances by celebs — including Jerry Seinfeld, Kathleen Turner, and Bette Midler — who were pulled out of the audience to be interviewed by Short’s clueless alter ego, Jiminy Glick.

By running a bit beyond the end of the year, “Fame” hopes to capitalize on the box office bonanza of the holidays that usually lasts through early January — and to avoid facing the traditionally dire post-holiday slump.