The present invention relates to a grind machining apparatus, which comprises a grinding wheel and an electrochemical processing module. The grinding wheel has a grinding surface on the surface. The electrochemical processing modules is disposed at the grinding wheel. The processing surface of the electrochemical processing module faces the direction away from an axle of the grinding wheel and is located lower than the grinding surface. By using the above grind machining apparatus, alternate compound machining including electrochemical oxidation processing and mechanical grind machining can be performed.