A control apparatus for controlling a hybrid vehicle, comprising: an engine; a motor provided in a drive system extending from the engine to a driving wheel (RR, RL), the motor arranged to start the engine and drive the driving wheel (RR, RL); a mode selecting device provided between the engine and the motor, the mode selecting device arranged to change over a vehicle drive mode between a hybrid drive mode using the engine and the motor as a drive source and an electric drive mode using the motor as the drive source; an automatic transmission disposed between the motor and the driving wheel (RR, RL), the automatic transmission arranged to provide a plurality of speed ratios; an integrated controller that performs an engine start/stop control, the engine start/stop control being a start control of the engine in response to a start request at the time of mode changeover to the hybrid drive mode or a stop control of the engine in response to a stop request at the time of the mode changeover to the electric drive mode; and an automatic transmission controller that performs a shift control of changing a gear position of the automatic transmission from a current position to a request position in response to a shift request during travel of the vehicle; and wherein the integrated controller determines whether a condition exists such that a shock will exceed an acceptable level if a second control, which is one of the engine start/stop control and the shift control, is started at a timing of a second control request when the second control request is generated during a performance period of a first control, which is the other of the engine start/stop control and the shift control, forbids start of the second control at the timing of the second control request when the condition exists, repeatedly determines whether the condition continues to exist after forbidding start of the second control and during the performance period of the first control, and starts the second control at a permitting timing after the timing of the second control request and during the performance period of the first control when the condition no longer exists. an engine; a motor provided in a drive system extending from the engine to a driving wheel (RR, RL), the motor arranged to start the engine and drive the driving wheel (RR, RL); a mode selecting device provided between the engine and the motor, the mode selecting device arranged to change over a vehicle drive mode between a hybrid drive mode using the engine and the motor as a drive source and an electric drive mode using the motor as the drive source; an automatic transmission disposed between the motor and the driving wheel (RR, RL), the automatic transmission arranged to provide a plurality of speed ratios; an integrated controller that performs an engine start/stop control, the engine start/stop control being a start control of the engine in response to a start request at the time of mode changeover to the hybrid drive mode or a stop control of the engine in response to a stop request at the time of the mode changeover to the electric drive mode; and an automatic transmission controller that performs a shift control of changing a gear position of the automatic transmission from a current position to a request position in response to a shift request during travel of the vehicle; and wherein the integrated controller determines whether a condition exists such that a shock will exceed an acceptable level if a second control, which is one of the engine start/stop control and the shift control, is started at a timing of a second control request when the second control request is generated during a performance period of a first control, which is the other of the engine start/stop control and the shift control, forbids start of the second control at the timing of the second control request when the condition exists, repeatedly determines whether the condition continues to exist after forbidding start of the second control and during the performance period of the first control, and starts the second control at a permitting timing after the timing of the second control request and during the performance period of the first control when the condition no longer exists.