A wheel clutch device has two hubs, a shaft module, an engagement base, a clutch base, a clutch unit, and an abutment unit. The shaft module is inserted through the hubs and has a shaft body. The engagement base is mounted on one of the hubs and has at least one engagement base groove. The clutch base is mounted in the engagement base engaged with the shaft body and has at least one alignment slit aligned with the at least one engagement base groove. The clutch unit is mounted around the clutch base and has at least one engagement lump selectively engaged with the at least one engagement base groove and the at least one alignment slit. The abutment unit is combined with the shaft body and abuts the clutch wilt.