A wire-cut electrical discharge machine for machining a workpiece (W) through wire-cut electrical discharge machining by employment of an electrode wire (60) which runs from one to the other of upper and lower guide assemblies each having a cooling liquid supply passage (62) and a main passage (64) communicating with the cooling liquid supply passage (62). At least either the upper guide assembly or the lower assembly is provided with a restrictor valve (68) provided in a branch passage (66) branched from the main passage (64) and capable of varying the effective sectional area of the liquid passage of its own according to the pressure of the cooling liquid supplied from the cooling liquid supply passage (62) into the branch passage. The cooling liquid that passed the restrictor valve (68) is introduced into the vicinity of the feeder pin (42) of the guide assembly to cool the feeder pin (42) and the electrode wire running in the vicinity of the feeder pin (42).