Kay, whose rendition of (Is This The Way To) Amarillo? went to number one, Foo Fighters, Franz Ferdinand and Kaiser Chiefs will each take control of the station for a day, with Foo Fighters the first to take the reins on 12 December.
Each act will be able to champion a favourite artist, pick an album of the day, or select live performances from the BBC's archive. The Kaiser Chiefs have already commissioned a new session from tour mates The Cribs.
The digital-only station has previously let Radiohead and the Manic Street Preaches take control of the station for a week each in 2003 and 2004 respectively.
BBC 6 Music's head of programmes, Ric Blaxill, said it was "an honour" for the network that high profile artists wanted to take part in The 6 Music Selector.
"I am particularly pleased to welcome Peter Kay, who will add a light comic touch to the musical mix."