A control apparatus of a hybrid leaning vehicle including an engine serving as a drive source for travel of the hybrid leaning vehicle, an electric motor serving as a drive source for travel of the hybrid leaning vehicle, and a clutch provided in a power transmission route between the engine and a drive wheel, the control apparatus comprising: a travel mode request section that requests one travel mode selected from a plurality of travel modes including a first travel mode in which the engine is operated with the clutch disengaged and a second travel mode in which the engine is operated with the clutch engaged, characterized in that: the control apparatus further comprises a travel mode setting section that determines whether a predetermined shock accepting condition is satisfied and that, depending on a result of the determination, sets the travel mode requested by the travel mode request section as a travel mode to be executed, wherein 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 the shock accepting condition is satisfied, sets the second travel mode as the travel mode to be executed, 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 the shock accepting condition is not satisfied, prohibits the second travel mode from being set as the travel mode to be executed, and the shock accepting condition includes a condition that at least a predetermined time has elapsed from start-up of the engine and a rotational speed of the electric motor is less than a predetermined threshold. a travel mode request section that requests one travel mode selected from a plurality of travel modes including a first travel mode in which the engine is operated with the clutch disengaged and a second travel mode in which the engine is operated with the clutch engaged, characterized in that: the control apparatus further comprises a travel mode setting section that determines whether a predetermined shock accepting condition is satisfied and that, depending on a result of the determination, sets the travel mode requested by the travel mode request section as a travel mode to be executed, wherein 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 the shock accepting condition is satisfied, sets the second travel mode as the travel mode to be executed, 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 the shock accepting condition is not satisfied, prohibits the second travel mode from being set as the travel mode to be executed, and the shock accepting condition includes a condition that at least a predetermined time has elapsed from start-up of the engine and a rotational speed of the electric motor is less than a predetermined threshold. the control apparatus further comprises a travel mode setting section that determines whether a predetermined shock accepting condition is satisfied and that, depending on a result of the determination, sets the travel mode requested by the travel mode request section as a travel mode to be executed, wherein 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 the shock accepting condition is satisfied, sets the second travel mode as the travel mode to be executed, 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 the shock accepting condition is not satisfied, prohibits the second travel mode from being set as the travel mode to be executed, and the shock accepting condition includes a condition that at least a predetermined time has elapsed from start-up of the engine and a rotational speed of the electric motor is less than a predetermined threshold.