Control apparatus of hybrid vehicle

A control apparatus of a hybrid vehicle includes an automatic transmission (12), a clutch (16), a motor (8), a battery (6), a driving assist control device (26) performing a driving assist control by driving the motor to generate an assist torque, a gear shift assist control device (26) performing a gear shift assist control by driving the motor in response to a decrease of the engine torque caused by the disengagement state of the clutch, an SOC value detection device (48) detecting an SOC value, and a first mode switch device (24) switching an operation mode of the hybrid vehicle from a normal mode in which the driving assist control and the gear shift assist control are performed to a battery power preserving mode in which the driving assist control is prohibited and the gear shift assist control is permitted in a case where the SOC value is equal to or smaller than a first predetermined value.