An in-gear oil pressure correcting section corrects engagement control oil pressure set up by an oil pressure supply control section over the entire range to be reduced by first predetermined pressure. An engagement determining section determines, on the basis of a torque converter slip ratio calculated by a calculating section, whether a frictional engagement element of a destination gear starts to engage or not. An addition correcting control section corrects the corrected engagement control oil pressure to add second predetermined pressure thereto in the case where engagement of the frictional engagement element has not been started yet when a timer measures first predetermined time. The addition correcting control section further corrects the corrected engagement control oil pressure to add third predetermined pressure thereto in the case where the engagement of the frictional engagement element has not been started yet when the timer measures second predetermined time.