A hybrid vehicle control device includes an engine start control unit which, at engine start, starts slipping a second clutch, sets a first clutch to a slip-engaged state, and sets the second clutch transmission torque capacity to less than or equal to a set torque limit value during cranking, maintains the slip state and cranks the engine, and when the engine is put in a drive state, controls the first clutch and the second clutch towards a fully engaged state. The engine start control unit is provided with a second clutch torque increase gradient control unit which, when performing cranking processing, performs first increasing processing for increasing the second clutch transmission torque capacity command value at a first increase gradient, and second increasing processing for increasing said value at a second increase gradient more gradual that the first increase gradient.

Present invention provides a control device for hybrid vehicle which can ensure acceleration performance while suppressing second clutch engagement shock at engine start. The control device has second clutch (CL2) which is interposed between motor/generator (MG) and driving wheels (rear-left and right wheels RL, RR) and whose transmission torque capacity is variable, a second clutch slip amount controlling section (400b) performing full engagement operation that shifts second clutch (CL2) from slip state to full engagement state at a time when lock-up condition of the second clutch (CL2) is satisfied (S107) in the slip state of the second clutch (CL2). The second clutch slip amount controlling section (400b) first increases transmission torque capacity of second clutch (CL2) at first increase gradient (R1) (S109) and subsequently increases the transmission torque capacity of the second clutch (CL2) at second increase gradient (R2) that is gentler than the first increase gradient (R1) (S111).