A golf putter head has a central indented concave face portion in which a face plate is either directly formed or installed after it is formed. The face plate has a honeycomb structure with three layers formed from a soft polymer material. The outer or top layer has a honeycomb corrugated construction with equally spaced cells and fits into the cavity of the central portion. The second layer which is similar in configuration to the top layer is immediately beneath the outer layer in abutment there against. The third layer which abuts against the surface of the concave face plate is in the form of a plurality of pins which extend through the cells of the other two layers. Toe and heel portions are removably attached to the opposite sides of the head face portion by means of aligning pins and threaded bolts.