A control device for a hybrid vehicle, the hybrid vehicle including an internal combustion engine as a drive source for traveling, an electric motor as a drive source for traveling, a driving wheel, and a clutch including an engagement member, an engaged member, and a clutch pedal, the engagement member and the engaged member being provided in a power transmission path between the internal combustion engine and the driving wheel, the clutch being configured to change a position of the engagement member with respect to the engaged member according to a depression operation of the clutch pedal to be switchable between a full engagement state and a full release state, the full engagement state being a state where i) the engagement member and the engaged member rotate integrally and ii) power is transmitted between the internal combustion engine and the driving wheel, and the full release state being a state where i) the engagement member is farthest separated from the engaged member and ii) power transmission between the internal combustion engine and the driving wheel is cut off, the hybrid vehicle being configured to separate the internal combustion engine from the driving wheel to drive the driving wheel with the electric motor, characterized in that the control device for a hybrid vehicle further comprising: a vehicle control device configured to a) calculate a requested drive force based on a driver's operation, b) start the internal combustion engine when the requested drive force is equal to or greater than a start determination value, and c) i) when the vehicle is stopped, the internal combustion engine is stopped, and an amount of return of the clutch pedal from the position of the clutch pedal where the clutch is put in the full release state is small, make the start determination value greater than when the amount of return of the clutch pedal is great, or ii) when the vehicle is stopped, the internal combustion engine is stopped and an amount of movement of the engagement member moving from a position where the clutch is put in the full release state toward a position where the clutch is put in the full engagement state is small, make the start determination value greater than when the amount of movement of the engagement member is great. a) calculate a requested drive force based on a driver's operation, b) start the internal combustion engine when the requested drive force is equal to or greater than a start determination value, and c) i) when the vehicle is stopped, the internal combustion engine is stopped, and an amount of return of the clutch pedal from the position of the clutch pedal where the clutch is put in the full release state is small, make the start determination value greater than when the amount of return of the clutch pedal is great, or ii) when the vehicle is stopped, the internal combustion engine is stopped and an amount of movement of the engagement member moving from a position where the clutch is put in the full release state toward a position where the clutch is put in the full engagement state is small, make the start determination value greater than when the amount of movement of the engagement member is great. i) when the vehicle is stopped, the internal combustion engine is stopped, and an amount of return of the clutch pedal from the position of the clutch pedal where the clutch is put in the full release state is small, make the start determination value greater than when the amount of return of the clutch pedal is great, or ii) when the vehicle is stopped, the internal combustion engine is stopped and an amount of movement of the engagement member moving from a position where the clutch is put in the full release state toward a position where the clutch is put in the full engagement state is small, make the start determination value greater than when the amount of movement of the engagement member is great.