A dental handpiece comprises an outer sleeve (1), a tool-holding socket (2) for holding a treatment tool (3) arranged in the handpiece, wherein the tool-holding socket (2) has a central axis about which the tool-holding socket (2) can be rotated and/or oscillated and wherein the tool-holding socket (2) is arranged to be driven by a driveshaft of the handpiece driven by a motor (10) housed in the outer sleeve (1). At least one Peltier element (5) is received in the handpiece in thermal contact with the tool-holding socket (2), the Peltier element (5) having a cool face in thermal contact with the tool-holding socket (2) to cool a treatment tool (3) held therein when the tool (3) is driven in rotation or oscillation.
