Lisanne Beck (47), and Simon Murphy (48) have been fined for their sex act during a BBC Radio 2 concert in Hyde Park, in September 2014.
Judge Charles Wide QC told the couple that they “both need to be taught a lesson” for this “particularly revolting behaviour in public”.
Beck and Murphy had been filmed on a mobile phone carrying out the sex act in front of families at the concert.
They were criticised by the judge at the Old Bailey for initially refusing to admit the offence of outraging public decency, which led to the trial going to the crown court, at a cost to the public.
They were fined £1,000 each, as well as an additional £1,750 each in prosecution costs.