The DJ's career enjoyed a revival after he won ITV's I'm A Celebrity... Get Me Out of Here reality show in 2002.
Pick of the Pops was first broadcast on the BBC Light Programme in 1955 before switching to Radio 1 and then Radio 2. Previously fronted by Alan Freeman, Winton has presented the show since 2000.
Blackburn, who was the first DJ heard on Radio 1 when it began broadcasting in 1967, described Pick of the Pops as "one of radio's most iconic and famous shows".
Radio 2 head of programmes, Lewis Carnie, said: "I'm delighted to welcome Tony Blackburn to Radio 2 on a permanent basis. He is one of this country's legendary broadcasters and brings a wealth of knowledge of popular music spanning the years.
"I'd like to thank Dale for being such a tremendous host of Pick Of The Pops for the last decade, and I look forward to continuing our relationship with him on future Radio 2 projects."
Blackburn also presents a Sunday soul and Motown show on BBC London 94.9. Smooth Radio is owned by GMG Radio, part of Guardian Media Group, which also publishes MediaGuardian.co.uk.