Zo Kravitz's boyfriend appeared "nervous" at dinner with her father.

Zo has reportedly made the decision to introduce her beau of nearly a year, Gossip Girl actor Penn Badgley, to her rock musician father Lenny Kravitz.

The trio had dinner at Mr. Chow in New York City together Wednesday.

The meeting felt awkward at first.

"[Penn] sat opposite Lenny at a table for six," an eyewitness told Life & Style magazine. "Penn looked a bit nervous! He wasn't talking too much to begin with, but warmed up as the evening went on."

As Penn lightened his mood, everyone at the table began to relax. The actor even felt comfortable enough to steal a quick kiss from Zo.

"But Penn was very appropriate," the source continued. "It was only a sweet peck."

Lenny has spoken before about his thoughts on Zo's romantic life.

"I'm not [dreading walking her down the aisle]," Lenny said last summer. "I look forward to it. But I'm hoping she doesn't ask me that, like, tomorrow."

Zo and Penn are rumoured to have began dating in July 2011.

Before her relationship with Penn, Zo was linked to Michael Fassbender.

Penn is renowned for keeping tight-lipped about his love life. He dated his Gossip Girl co-star Blake Lively for three years but declined to comment on their time together in public.