A surgical filament snare assembly including an anchor capable of being fixated in bone and having a filament engagement feature. A first filament has a noose on a first portion of at least a first limb and has a second portion connected to the filament engagement feature of the anchor. Preferably, at least one free filament limb, which in some embodiments is a length of the first filament and in other embodiments is a second filament, is capable of being passed through tissue to be repaired and has at least one end passable through the noose to enable incremental tensioning of the tissue after the anchor is fixated in bone. The noose strangulates the free filament limb when tension is applied to at least one of the free filament limb and the noose.