A control device for a hybrid vehicle, comprising: an automated transmission including an input shaft configured to be rotated by an engine torque outputted from an engine mounted to a vehicle, and an output shaft rotatably connected to a driving wheel of the vehicle for changing a rotation speed of the input shaft based on a gear ratio of plural gears for plural gear stages to transmit a rotation of the input shaft to the driving wheel; a clutch configured to engage and disengage an output shaft of the engine and the input shaft of the automated transmission at which an engaged state and a disengaged state are switched by an operation of a clutch actuator; a motor rotatably connected to the input shaft or the output shaft of the automated transmission for outputting a motor torque to the input shaft or the output shaft of the automated transmission; an accelerator pedal position sensor for detecting an operation amount of an accelerator pedal; an engine output shaft rotation speed detection sensor for detecting a rotation speed of the output shaft of the engine; an engine torque necessity determination portion determining whether an engine torque of the engine which is not outputted is necessary in addition to a motor torque of the motor when the accelerator pedal is operated; a motor torque control portion controlling the motor so that the motor torque of the motor is assumed to be a target torque during the accelerator pedal is operated; an engine rotation speed control portion controlling the engine so that a rotation speed of the output shaft of the engine is assumed to be a target engine rotation speed for sudden start / reacceleration which is set to be a value greater than a reference target engine rotation speed by a predetermined value while maintaining the clutch in the disengaged state after starting the engine and before an actual rotation speed of the output shaft of the engine exceeds the reference target engine rotation speed in a case where the engine torque necessity determination portion determines that the engine torque is necessary in addition to the motor torque; a clutch engagement control portion changing a state of the clutch from the disengaged state to the engaged state after the actual rotation speed of the output shaft of the engine exceeds the reference target engine rotation speed; and an engine torque control portion controlling the engine so that the engine torque of the engine is assumed to be a target torque by canceling the control by the engine rotation speed control portion after the actual rotation speed of the output shaft of the engine exceeds the reference target engine rotation speed. an automated transmission including an input shaft configured to be rotated by an engine torque outputted from an engine mounted to a vehicle, and an output shaft rotatably connected to a driving wheel of the vehicle for changing a rotation speed of the input shaft based on a gear ratio of plural gears for plural gear stages to transmit a rotation of the input shaft to the driving wheel; a clutch configured to engage and disengage an output shaft of the engine and the input shaft of the automated transmission at which an engaged state and a disengaged state are switched by an operation of a clutch actuator; a motor rotatably connected to the input shaft or the output shaft of the automated transmission for outputting a motor torque to the input shaft or the output shaft of the automated transmission; an accelerator pedal position sensor for detecting an operation amount of an accelerator pedal; an engine output shaft rotation speed detection sensor for detecting a rotation speed of the output shaft of the engine; an engine torque necessity determination portion determining whether an engine torque of the engine which is not outputted is necessary in addition to a motor torque of the motor when the accelerator pedal is operated; a motor torque control portion controlling the motor so that the motor torque of the motor is assumed to be a target torque during the accelerator pedal is operated; an engine rotation speed control portion controlling the engine so that a rotation speed of the output shaft of the engine is assumed to be a target engine rotation speed for sudden start / reacceleration which is set to be a value greater than a reference target engine rotation speed by a predetermined value while maintaining the clutch in the disengaged state after starting the engine and before an actual rotation speed of the output shaft of the engine exceeds the reference target engine rotation speed in a case where the engine torque necessity determination portion determines that the engine torque is necessary in addition to the motor torque; a clutch engagement control portion changing a state of the clutch from the disengaged state to the engaged state after the actual rotation speed of the output shaft of the engine exceeds the reference target engine rotation speed; and an engine torque control portion controlling the engine so that the engine torque of the engine is assumed to be a target torque by canceling the control by the engine rotation speed control portion after the actual rotation speed of the output shaft of the engine exceeds the reference target engine rotation speed.