A control device for a hybrid vehicle automatic transmission. A friction engagement element control unit includes a first play elimination control unit that sets a first pressure as the pressure for a first set time where the predetermined friction engagement element is engaged using a hydraulic pressure from the electric oil pump in a travel state in which only the rotary electric machine serves as a drive source. The first play elimination pressure is lower than a play elimination pressure for use in the case where the predetermined friction engagement element is engaged using a hydraulic pressure from the mechanical oil pump in a travel state in which the internal combustion engine serves as a drive source.