A type of machine spare parts, 3 high mill middle choke clamping wedges, is provided with assurance of the best quality. These are ideal for use with square pointed V cutters. The purpose of these clamping wedges is to provide extra support in the situations when the clamping is developed in the tool holder. Another application of this 3 high mill middle choke clamping wedge is for clamping down from above in the case when an infill piece is needed.