The duo picked up the Gold award for Funniest Show for their Radio 5 Live slot.
They were up against James Veitch's Contractual Obligation, which picked up Silver, Chris Ramsey and Rosie Ramsey's Shagged Married Annoyed, which took Bronze, the Audible series Kurupt FM, Radio 4 sitcom ReincarNathan and The Dave Berry Breakfast Show on Absolute Radio.
Writing on Twitter after their win, Elis James reported: "Absolutely delighted. John has had six pints and I haven't, so the speech was tonally quite mixed."
He also posted a picture of them celebrating:
Meanwhile Robins posted a picture of the duo with the production team, thanking their fans:
Elsewhere in the awards, comedian Toby Foster won the Gold for Best Speech Breakfast Show for his BBC Radio Sheffield slot; Frank Skinner picked up the Bronze award in the Best Speech Presenter category for his Absolute Radio show; stand-up comedian Jacob Hawley was given a Silver award for Best New Presenter for his work on the BBC Sounds podcast Jacob Hawley: On Drugs; and My Dad Wrote A Porno was awarded Bronze in the Best Independent Podcast category.
The awards were presented last night (4th March) at a ceremony at the London Palladium hosted by Greg James. The BBC was the big winner on the night, taking home 17 prizes across the 23 categories. The full list of winners can be seen at radioacademy.org
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