A golf putter (10) includes a putter head (316) having a putter body (320), a heel weight (344H), a toe weight (344T) and a first sole insert (354F). The putter body (320) includes a heel region (330) and a toe region (332), and is formed from a material having a first specific gravity. The heel weight (344H), the toe weight (344T) and the first sole insert (354F) are each formed from materials having specific gravities that are greater than the first specific gravity. In one embodiment, the putter head (316) also includes a second sole insert (354S). The sole inserts (354F, 354S) are positioned partly in the heel region (330) and partly in the toe region (332) of the putter body (320). In another embodiment, the first sole insert (354F) has a first specific gravity, and the second sole insert (354S) has a second specific gravity that is greater than the first specific gravity.