The 69-year-old Travis, whose real name is David Griffin, was cleared on two other assault charges today.
Travis was a longtime DJ on BBC radio and host of TV music show "Top of the Pops."
He was arrested in November as part of a wide-ranging police investigation into past abuse after revelations that the late BBC entertainer Jimmy Savile was a serial sexual predator who abused hundreds of young people.
Prosecutors said Travis was an "opportunist" who acted as if he had the right to grope young women.