An automatic transmission includes a first engagement mechanism selectively engaging a first rotating member to a second rotating member, a second engagement mechanism selectively engaging the first rotating member to a third rotating member, and other engagement mechanisms. At least one of the first or second engagement mechanisms is a dog clutch. The automatic transmission sets intermediate, high and low speed stages by controlling the engagement mechanisms. The first engagement mechanism is kept engaged in shifting from the high speed stage to the intermediate speed stage. The second engagement mechanism is kept engaged in shifting from the low speed stage to the intermediate speed stage. When the automatic transmission sets the intermediate speed stage by controlling the other engagement mechanisms, a rotation speed of the rotating member that is coupled to the first rotating member by the dog clutch coincides with a rotation speed of the first rotating member.