A control apparatus (100) is a control apparatus for a hybrid vehicle (10), wherein the hybrid vehicle is provided with an engine (200) which operates by a burning of fuel and a rotating electrical machine (Mg) which operates by using electric power charged in a battery, the control apparatus is provided with: a stop controlling device which stops a supply of the fuel to the engine while the hybrid vehicle is running; a vibration suppress controlling device which controls the rotating electrical machine so as to generate a suppress force for suppressing vibration which is caused by a stop of the supply of the fuel to the engine; and an adjusting device which adjusts magnitude of the suppress force such that the magnitude of the suppress force becomes smaller as a braking amount for braking the hybrid vehicle becomes larger.