A control apparatus for an automatic transmission includes a target-value setting section configured to set a target rotational-speed difference between input and output rotational speeds of at least one of first and second friction-engagement elements; a total torque-capacity calculating section configured to calculate a total torque capacity of the first and second friction-engagement elements by adding a transmission input torque to a correction value calculated from a deviation between the target rotational-speed difference and an actual rotational-speed difference; a distribution-ratio setting section configured to set a distribution ratio; an individual torque-capacity calculating section configured to calculate individual torque capacities of both second friction-engagement elements on the basis of the total torque capacity and the distribution ratio; and an engagement control section configured to control engagement states of the both friction-engagement elements in accordance with the individual torque capacities.