To provide a power module driving control apparatus and a hybrid vehicle capable of obtaining sufficient accelerator response despite adoption of a speed sensing type clutch for connection and disconnection of a power drive between an engine side and a driving wheel side. When a rotational speed on an input side of a centrifugal clutch falls short of a set value, at which the clutch can be connected, and an acceleration request is made by a rider, a control unit controls a motor generator so as to bring the rotational speed on the input side of the clutch near to the set value. When the motor generator is made to function as a motor, rotation on the input side of the clutch is assisted. When the motor generator functions as a generator, an amount of electricity generated is decreased.