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).