A drill chuck can be operated with or without an axial displacement mode with respect to the drill spindle. For operation without the axial displacement mode, lock formations can be moved by way of a coupling ring to engage with a seat portion of a contact sleeve which is fixed to the drill spindle. The lock formations are part of resilient lock strips which are cut from the wall of a lock sleeve secured at the chuck body. The lock formations can be contacted by control projections of the coupling ring. The coupling ring can be moved in axial direction towards the drill spindle so that the contact sleeve is secured due to engagement of the lock formations at the seat portion. At the same time, the chuck body contacts at a spring ring secured to the contact sleeve, and the relative axial movements between the chuck body and the contact sleeve or the drill spindle cannot take place.