A control device for a hybrid vehicle is provided with: a power splitting mechanism (5) that has differential action and that comprises a first rotary element (9) that can be made to transmit the torque of an engine (1), a second rotary element (6) that can be made to transmit the torque of a first motor (2), and a third rotary element (7) that is capable of transmitting the torque of an output shaft (4); a second motor (3) that is capable of transmitting the torque of the output shaft (4); and an engagement device (C0) that blocks the transmission of torque that acts on one rotary element (9) among the individual rotary elements. The control device is provided with an engagement control means that causes the engagement device (C0) to engage or release. The engagement control means is configured so as to cause the engagement device (C0) to engage in conjunction with a decrease in an input command value.