A golf putter head includes a metal back body adapted to be secured to a golf club shaft and a metal face body including a golf ball contact surface. The metal back body and the metal face body have non-planar, inter-fitting surfaces facing one another without contact across a gap defined by the inter-fitting surfaces. The golf putter head further includes a vibration dampening intermediate body filling the gap to isolate the metal face body from the metal back body. Other embodiments of golf putters and golf putter heads are further disclosed.