A control device for hybrid vehicle is provided with property alter means 88 that is operative based on whether or not an EV running mode is set and alters a given property used for determining demanded output torque TOUTt of a transmission mechanism by referring to an accelerator opening Acc. This suppresses occurrence of engine startup to meet a requirement for the EV running mode to be initiated. The property alter means alters the given property such that during an EV running mode turn-on state, demanded output torque TOUTt determined based on the accelerator opening Acc has a lower value than that set for an EV running mode turn-off state. That is, this causes a drop in sensitivity of demanded output torque TOUTt determined based on the accelerator opening Acc. Thus, the occurrence of engine startup induced upon depressive operation of an accelerator pedal during the EV running mode is suppressed.