A clutch control device for a hybrid vehicle, comprising: an engine; a motor generator; a first clutch for interrupting a torque transmission between the engine and the motor generator; a second clutch for interrupting the torque transmission between the motor generator and driving wheels; an engine starting means for starting the engine by utilizing torque from the motor generator, when switching from an electric vehicle mode that cuts off the first clutch and travels via the torque of the motor generator to a hybrid mode that connects the first clutch and travels via the torque of the engine and the motor generator; a motor upper limit torque calculation means for calculating the motor upper limit torque; and a transmission torque capacity allocating means for allocating a first clutch transmission torque capacity command value and a second clutch transmission torque capacity command value within the range of the motor upper limit torque, when starting the engine accompanying an accelerator depression, wherein the transmission torque capacity allocating means is configured to control the allocation of the second clutch transmission torque capacity command value is increased when the accelerator position opening amount is equal to or less than a predetermined accelerator position opening amount, as compared to when exceeding the predetermined accelerator position opening amount, characterized by a drive torque command value calculation means for calculating a drive torque command value based on the accelerator position opening amount; a drive torque command value change rate calculation means for calculating the change rate of the drive torque command value; and a second clutch torque capacity maximum value calculation means for calculating a second clutch torque capacity maximum value, which is the maximum value of the torque that can be allocated to the second clutch when starting the engine by subtracting an engine start lower limit torque minimum value, which is the minimum value of an engine start lower limit torque that is minimally required for cranking from the motor upper limit torque, wherein the transmission torque capacity allocating means is configured - to maximize the allocation of the second clutch transmission torque capacity command value when the drive torque command value is equal to or less than the second clutch torque capacity maximum value, and - to increase the allocation of the first clutch transmission torque capacity command value as the drive torque command value change rate increases, when the drive torque command value exceeds the second clutch torque capacity maximum value. an engine; a motor generator; a first clutch for interrupting a torque transmission between the engine and the motor generator; a second clutch for interrupting the torque transmission between the motor generator and driving wheels; an engine starting means for starting the engine by utilizing torque from the motor generator, when switching from an electric vehicle mode that cuts off the first clutch and travels via the torque of the motor generator to a hybrid mode that connects the first clutch and travels via the torque of the engine and the motor generator; a motor upper limit torque calculation means for calculating the motor upper limit torque; and a transmission torque capacity allocating means for allocating a first clutch transmission torque capacity command value and a second clutch transmission torque capacity command value within the range of the motor upper limit torque, when starting the engine accompanying an accelerator depression, wherein the transmission torque capacity allocating means is configured to control the allocation of the second clutch transmission torque capacity command value is increased when the accelerator position opening amount is equal to or less than a predetermined accelerator position opening amount, as compared to when exceeding the predetermined accelerator position opening amount, characterized by a drive torque command value calculation means for calculating a drive torque command value based on the accelerator position opening amount; a drive torque command value change rate calculation means for calculating the change rate of the drive torque command value; and a second clutch torque capacity maximum value calculation means for calculating a second clutch torque capacity maximum value, which is the maximum value of the torque that can be allocated to the second clutch when starting the engine by subtracting an engine start lower limit torque minimum value, which is the minimum value of an engine start lower limit torque that is minimally required for cranking from the motor upper limit torque, wherein the transmission torque capacity allocating means is configured - to maximize the allocation of the second clutch transmission torque capacity command value when the drive torque command value is equal to or less than the second clutch torque capacity maximum value, and - to increase the allocation of the first clutch transmission torque capacity command value as the drive torque command value change rate increases, when the drive torque command value exceeds the second clutch torque capacity maximum value. - to maximize the allocation of the second clutch transmission torque capacity command value when the drive torque command value is equal to or less than the second clutch torque capacity maximum value, and - to increase the allocation of the first clutch transmission torque capacity command value as the drive torque command value change rate increases, when the drive torque command value exceeds the second clutch torque capacity maximum value.