Former Radio 1 DJ Dave Lee Travis has been found guilty of indecently assaulting a researcher working on TV's Mrs Merton Show in 1995.
A Southwark Crown Court jury convicted him by a majority verdict of 10-2.
He was found not guilty of indecently assaulting a woman while he was appearing in a production of Aladdin in 1990.
Travis, who left the court with his wife Marianne after being granted bail, will be sentenced on Friday.
He was cleared of a further charge of sexually assaulting a journalist after the jury failed to reach a verdict.
Travis was cleared of the two charges he was being retried for after a jury was unable to reach verdicts at an earlier trial.
He had been cleared of 12 other indecent assault allegations at that trial.
The prosecution introduced a further charge ahead of the retrial and, on Tuesday, the court found him guilty of this offence.
'Charming' persona
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“
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You must understand that all my options remain open in relation to sentencing”
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Judge Anthony Leonard QC
The 69-year-old, who was tried under his real name David Griffin, appeared on BBC Radio 1 for more than 25 years until 1993 and was a regular host of Top of the Pops.
Prosecutors described him as an "opportunist" and said his "charming and cuddly" persona was no defence for his actions.
Sophie Wood, defending, told the judge she would "seek to persuade" him that Travis should be given a non-custodial community order sentence.
But Judge Anthony Leonard QC told Travis: "You must understand that all my options remain open in relation to sentencing."
Travis replied: "I understand. Thank you, your honour."