He faces 15 charges, including four counts of rape, nine counts of indecent assault, and two counts of sexual assault, involving seven different women.
The alleged offences span from 1983 to 2016 and include incidents at BBC studios in the 1990s, with victims as young as 17.
Westwood, who returned from Nigeria last week, spoke only to confirm his details and was not required to enter pleas.
The Metropolitan Police investigation remains open, and the BBC previously apologised for not taking adequate action regarding concerns about his behaviour.