Bob Geldof has given his seal of approval to his daughter Peaches' new boyfriend, actor/director Eli Roth - despite the couple's 17 year age gap.

The 21-year-old socialite was first linked to Inglourious Basterds star Roth in March after they were pictured together at an Oscars afterparty.

The stars have since gone public with their romance and openly held hands and kissed in public while attending the Coachella music festival in California last month.

Peaches has now shown she's serious about the new relationship by introducing Roth, 38, to her rocker dad over lunch on Thursday - and she was shocked at how easily they managed to get on.

In a post on her Twitter.com page, she writes, "I think my dad likes talking to my boyfriend more than he likes talking to me. What is this!?"