is obtained in the automatic transmission 1 as a whole at that time the first brake b1 may be engaged when the sequence of the engagement of the first brake b1 and the second brake b2 is changed based on a load state as described later at a third ratio of the automatic transmission 1 the forward clutch c1 the second brake b2 the first one way clutch f1 and the first brake b1 are maintained in the engaged state in addition the engagement of the fifth brake b5 is released while at the same time the fourth brake band brake b4 is engaged that is to say the main transmission mechanism 2 is sustained in the second ratio state and the rotation at the second ratio is transmitted to the auxiliary transmission mechanism 5 through the counter gears 14 17 in addition in the auxiliary transmission mechanism 5 the rotation from the ring gear r3 of the first simple planetary gear 10 is output from the carrier cr3 as a rotation at a second gear ratio thereof due to the fact that the sun gear s3 is stopped as a result of combining the state of the second gear ratio of the main transmission mechanism 2 and the state of the second gear ratio of the auxiliary transmission mechanism 5 the third ratio is obtained in the automatic transmission 1 as a whole at a fourth ratio of the automatic transmission 1 the main transmission mechanism 2 is in the same state as the above states at the second and third ratios of the automatic transmission 1 wherein the forward clutch c1 the.