According to an embodiment, a filter characteristic tuning apparatus includes a characteristic tuning member, an elastic member, a first movable member, a second movable member, and a driving mechanism. The elastic member comes in contact with a characteristic tuning member by deformation, and separates from the characteristic tuning member by a restoring force. The first movable member deforms the elastic member in a closing operation. The driving mechanism displaces a second movable member such that a projection opens/closes the first movable member. The characteristic tuning member changes a gap between the characteristic tuning member and the resonator by a linear driving force obtained by converting the transmitted rotary driving force.