Tiger Woods and Lindsey Vonn put their dance moves — and much more — on display after the Met Ball Monday night. And though it took a while for the golf champ to get in the mood, he wound up ending the night with a make-out session and full-on dance-off.

The sports super couple was spotted shuffling into the Top of the Standard about midnight for the gala’s unofficial after-party, among guests Madonna, Katy Perry, Allison Williams and R&B crooners Frank Ocean and Akon.

But Woods and Vonn looked uncomfortable amid the entertainers and sat by themselves at the 18th-floor nightclub. When we asked Vonn how her night was going, she said, “We had a very good time,” while Woods sullenly texted on a smartphone. When we asked if the golf great had texted all night at the Met Ball, too, Vonn said, “No-o-o,” then admitted, “He doesn’t dance” when asked if Tiger cut a rug during the night’s musical performances.

But minutes later, male model Tyson Beckford approached the couple, and Woods’ mood changed. After some encouragement from the cat-walker, Woods stood, hugged his ski bunny gal pal and started grooving and singing along to songs by Gotye and Donna Summer.

The couple then “kissed and caressed,” said a spy, adding, “They started making out in front of everyone. It seemed Tyson got Tiger to loosen up and enjoy the party . . . Before he arrived, Tiger just sat there stone-faced.”

A circle later gathered around Woods and Beckford as they began a dance-off “like the drunk uncles at a wedding,” a spy said. Woods and Vonn left about 2:30 a.m.

Meanwhile, Madonna held court near Victor Cruz, Kirsten Dunst sat with designers Kate and Laura Mulleavy and Elizabeth Banks and Brian Atwood ordered an entire chicken dinner (apparently famished from the fashionista fete).

We hear Dasha Zhukova and Lauren Santo Domingo later “enlisted a bunch of fashionistas to head to Roman Abramovich’s yacht” for an after-after party that continued well after 5 a.m.