A bicycle component operating device is basically provided with a first base member, a first operating member, a second base member and a second operating member. The first operating member is pivotally mounted to the first base member to pivot about a first axis to control a first bicycle component. The second base member is different from the first base member. The second base member is separably attached to the first base member along an axial direction parallel to the first axis. The second operating member is pivotally mounted to the second base member to control a second bicycle component that is different from the first bicycle component. The first operating member remains with the first base member and the second operating member remains with the second base member upon separation of the first base member from the second base member.