In pictures obtained by The Sun, the footballer, 46, was spotted chatting to officers on the moored vessel after his children Cruz, 16 and Harper, 10, enjoyed some water sports.
David fist-bumped one of the cops after the discussion which took around 45 minutes, with the police also asking for selfies with the famous face, the publication reports.
Holiday: David Beckham was reportedly quizzed by police in Italy after his children were seen jet-skiing off a luxury yacht on the Amalfi coast (pictured with son Cruz, 16)Insurance Loans Mortgage Attorney Credit Lawyer
Cruz, who was sporting pink hair for the day out, was jet-skiing before later being joined by Harper, when the police boat reportedly pulled up.
In Italy, you must be over 18 to drive a jet ski and hold a licence.
A witness told the publication: 'The kids are quite young. You are meant to be 18 to jet-ski in Italy.
'Cruz and Harper had just started jet-skiing, and five minutes later the police boat arrived.
Interrupted: In pictures obtained by The Sun, the footballer, 46, was spotted chatting to officers on the moored vessel after his children Cruz, 16 and Harper, 10, (pictured) enjoyed some water sports
'David was sun-bathing and he immediately left the deck and went downstairs to deal with it.
'Both Cruz and Harper were wearing life-jackets and staying very near the yacht so it is hard to see what the problem was.'
The source added that when the police arrived, David called the kids back to the yacht and they anchored the jet skis.
The publication goes on to report that the group chatted 'amicably' for just under an hour, with David at one point showing the officers documents.Insurance Loans Mortgage Attorney Credit Lawyer
Vacation: David's wife Victoria didn't appear to be on the yacht with her family (pictured together)
Family: David shares children Cruz, Harper,