A cryogenic fluid jet is used in an apparatus and a method for remote cooling of a cutting tool engaged in machining a workpiece under high-energy conditions, such as high-speed machining, hard-turning, cutting of difficult to machine materials, and combinations thereof. The apparatus and method use a stabilized, free-expanding cryogenic fluid jet having a pulse cycle time less than or equal to about 10 seconds. The apparatus and method increase the cleanliness of machined parts and chips and machining productivity of hard but brittle tools, including but not limited to tools which should not be cooled with conventional cooling fluids.