The presenter told followers on his Twitter account: "The call I have been waiting for just happened. Turns out I won. I'm all clear. I'm well again."
He also tweeted a picture of himself wearing a hat with "lucky" written on it, saying: "I will be wearing this hat for the foreseeable future."
Baker added: "So how do you celebrate probably the best news you'll get in your life?
"We have lots of cold beer and hot this," linking to a YouTube clip of American actor Samuel L Jackson singing the traditional blues song Stagger Lee.
He announced his illness in November, shortly before undergoing chemotherapy.
Baker, also well-known as a scriptwriter for his friend Chris Evans, came to prominence as a writer for the music paper New Musical Express in the 1970s after cutting his teeth on the punk fanzine Sniffin' Glue.
He later became a roving reporter for London ITV magazine programme The Six O'clock Show and presented shows such as Win, Lose Or Draw and Pets Win Prizes.
Source : Yahoo News