In an electric discharge apparatus of the type wherein an electrode (1) such as a wire electrode or a diesinking electrode and a workpiece (6) are disposed in such a manner as to face each other with a very small gap between them, a working solution (7) is put into the very small gap, discharge is caused between the electrode (1) and the workpiece (6), and the electrode (1) and the workpiece (6) are moved relatively by driving shafts (37), (67) such as ball screws in order to electrically discharge the workpiece (6) into a desired shape, the present invention determines correction data for correcting the driving quantity of the driving shafts (37), (67) under a plurality of different load and temperature conditions, stores in advance these correction data in a memory (41), selects a correction data suitable for the actual working condition from among the correction data thus stored in the memory and corrects the driving quantity to be given to the driving shafts (37), (67) in accordance with the selected correction data. Even if the driving shafts (37), (67) undergo expansion or contraction due to heat from surroundings, or deformation or expansion/contraction due to load by the weight of the workpiece (6) and the working solution (7), the driving quantity of the driving shafts (37), (67) can be corrected correctly. Accordingly, the relative position between the workpiece (6) and the electrode (1) can be controlled accurately, and high precision working can be performed.