Travis was last month given a three-month jail sentence suspended for two years, after being found guilty of indecent assault.
"The BBC will not show Top of the Pops repeats fronted by Dave Lee Travis," a BBC spokesperson told The Guardian. "We will consider any other archive appearances on a case-by-case basis."
Programmes that Travis hosted had already been pulled from the weekly BBC Four repeats of the show following his initial arrest in 2012.
The BBC recently apologised after an excerpt of Top of the Pops featuring Jimmy Savile was broadcast on TV.
The corporation carefully reviews programmes where the disgraced broadcaster featured ahead of transmission, and axes or edits any material which may cause offence or distress.
The attorney general's office has confirmed that it is considering whether to refer the