An apparatus for controlling a hybrid vehicle comprising: first drive force generating means for generating a first drive force; power transmission means for establishing a torque transmitting path that transmits power through a one-way clutch; second drive force generating means for generating a second drive force between the first drive force generating means and the power transmission means; first variable torque transmission capacity clutch means for selectively engaging and disengaging the first and second drive force generating means (2, 1); second variable torque transmission capacity clutch means for selectively controlling torque in a power train that spans from the second drive force generating means to a drive wheel (3L, 3R) via the power transmission means; and control means for disengaging the first variable torque transmission capacity clutch means and engaging the second variable torque transmission capacity clutch means to select an electric drive mode in which the first drive force generating means is stopped and the drive wheel (3L, 3R) is driven solely with power from the second drive force generating means, and for engaging both the first and second variable torque transmission capacity clutch means (6, 7) to select a hybrid drive mode in which the drive wheel (3L, 3R) is driven with power from both the first and second drive force generating means (2, 1), the control means being arranged to perform rotational speed control of the second drive force generating means such that a difference between rotational speeds (Nowci, Nowco) of an input side and an output side of the one-way clutch are equal to a target value (tΔNowc), characterized in that the control means is configured to start the rotational speed control of the second drive force generating means in response to a coasting state of the vehicle starting when an accelerator pedal of the vehicle is released. first drive force generating means for generating a first drive force; power transmission means for establishing a torque transmitting path that transmits power through a one-way clutch; second drive force generating means for generating a second drive force between the first drive force generating means and the power transmission means; first variable torque transmission capacity clutch means for selectively engaging and disengaging the first and second drive force generating means (2, 1); second variable torque transmission capacity clutch means for selectively controlling torque in a power train that spans from the second drive force generating means to a drive wheel (3L, 3R) via the power transmission means; and control means for disengaging the first variable torque transmission capacity clutch means and engaging the second variable torque transmission capacity clutch means to select an electric drive mode in which the first drive force generating means is stopped and the drive wheel (3L, 3R) is driven solely with power from the second drive force generating means, and for engaging both the first and second variable torque transmission capacity clutch means (6, 7) to select a hybrid drive mode in which the drive wheel (3L, 3R) is driven with power from both the first and second drive force generating means (2, 1),