A control apparatus for a hybrid vehicle is configured to control the hybrid vehicle. The control apparatus is provided with: an arithmetic operator configured to arithmetically operate a pulsation compensating torque for compensating a pulsation component; an arithmetic operation controller configured to control the arithmetic operator (i) to arithmetically operate the pulsation compensating torque in a first cycle in a period that does not include a vertex portion in which the pulsation compensating torque is locally maximal or locally minimal and (ii) to arithmetically operate the pulsation compensating torque in a second cycle, a length of which is shorter than that of the first cycle, in a period that includes the vertex portion; and a torque controller configured to control the electric motor to output a torque including the pulsation compensating torque arithmetically operated by the arithmetic operator.