When an engagement-side clutch taking charge of rotation control in an upshift is the same as a rotation control clutch of a previous gear shift, it is determined that there is a likelihood that a thermal load of a clutch friction material will increase, and the thermal load of the clutch friction material is decreased by delaying gear shift start. By setting a delay time by which the gear shift start is delayed when an accelerator depression amount is small to be shorter than when the accelerator depression amount is large depending on the accelerator depression amount, a gear shift which isan upshift can be performed without unnecessary waiting.