A bicycle transmission apparatus comprises a base member, a first transmission member, a second transmission member, a first coupling member, a first guide structure, a switching device, and a transmission controller. The switching device is configured to switch a position of the first transmission member relative to the base member in an axial direction between a first axial position and a second axial position. The transmission controller is configured to control the switching device and the first guide structure so as not to change a first engagement state of the first coupling member from one cogwheel to another adjacent cogwheel among first cogwheels when the first transmission member moves relative to the base member in association with a movement of the first guide structure relative to the base member to change a second engagement state of the first coupling member from one cogwheel to another adjacent cogwheel among second cogwheels.