A control apparatus of a hybrid leaning vehicle includes: a travel mode request section that requests one travel mode selected from a plurality of travel modes including a first travel mode in which an engine is stopped and an electric motor is operated and a second travel mode in which the engine is operated; and a travel mode setting section. When the travel mode request section requests the second travel mode during travel in the first travel mode, the travel mode setting section, upon determining that a steady turning condition is satisfied, sets the second travel mode as the travel mode to be executed and, upon determining that the steady turning condition is not satisfied, prohibits the second travel mode from being set as the travel mode to be executed.