A clutch control device for a four-wheel drive vehicle, wherein: - in the four-wheel drive vehicle of left and right front wheels (6, 7) and left and right rear wheels (19, 20), one pair is set as the main drive wheels (6, 7) which are connected to a drive source (1; 27) and the other pair is set as the auxiliary drive wheels (19, 20) which are connected to the drive source (1; 27) via a clutch, - the clutch control device comprises plural clutches (8; 16), that is, a dog clutch and a friction clutch that are respectively arranged separately in a drive branch-side transmission system path and in an auxiliary drive wheel-side transmission system path, which sandwich a differential, of a system for transmitting drive force to the auxiliary drive wheels, - the dog clutch is configured to separate the system for transmitting drive force to the auxiliary drive wheels (19, 20) from the system for transmitting drive force to the main drive wheels (6, 7) by releasing the dog clutch, and the friction clutch is configured to allocate a portion of the drive force from the drive source (1; 27) to the auxiliary drive wheels (19, 20) in accordance with a clutch engagement capacity, and - the clutch control device comprises a clutch control means that is configured to carry out an engagement and disengagement control of the dog clutch and an engagement and disengagement control of the friction clutch, - the four-wheel drive vehicle includes a disconnected, two-wheel drive mode in which the dog clutch and the friction clutch are disengaged, and a connected, four-wheel drive mode in which the dog clutch and the friction clutch are engaged, and the clutch control device being characterized in that; - when the foot is lifted off an accelerator during low vehicle speed coasting travel when the connected, four-wheel drive mode is selected, the clutch control means is configured to maintain the connected, four-wheel drive mode while the brakes are not depressed and to shift to the disconnected, two-wheel drive mode when the brakes are depressed. - in the four-wheel drive vehicle of left and right front wheels (6, 7) and left and right rear wheels (19, 20), one pair is set as the main drive wheels (6, 7) which are connected to a drive source (1; 27) and the other pair is set as the auxiliary drive wheels (19, 20) which are connected to the drive source (1; 27) via a clutch, - the clutch control device comprises plural clutches (8; 16), that is, a dog clutch and a friction clutch that are respectively arranged separately in a drive branch-side transmission system path and in an auxiliary drive wheel-side transmission system path, which sandwich a differential, of a system for transmitting drive force to the auxiliary drive wheels, - the dog clutch is configured to separate the system for transmitting drive force to the auxiliary drive wheels (19, 20) from the system for transmitting drive force to the main drive wheels (6, 7) by releasing the dog clutch, and the friction clutch is configured to allocate a portion of the drive force from the drive source (1; 27) to the auxiliary drive wheels (19, 20) in accordance with a clutch engagement capacity, and - the clutch control device comprises a clutch control means that is configured to carry out an engagement and disengagement control of the dog clutch and an engagement and disengagement control of the friction clutch, - the four-wheel drive vehicle includes a disconnected, two-wheel drive mode in which the dog clutch and the friction clutch are disengaged, and a connected, four-wheel drive mode in which the dog clutch and the friction clutch are engaged, and the clutch control device being characterized in that; - when the foot is lifted off an accelerator during low vehicle speed coasting travel when the connected, four-wheel drive mode is selected, the clutch control means is configured to maintain the connected, four-wheel drive mode while the brakes are not depressed and to shift to the disconnected, two-wheel drive mode when the brakes are depressed.