Described herein are breast implant fixation devices for use in breast reconstruction and breast augmentation. Novel wraps are designed to avert lateral displacement and bottoming out of breast implants, reduce capsular contraction and implant extrusion, eliminate skin indentations and ripples caused by breast implants, and reduce or eliminate palpability. The wraps are adapted to securely fold around the breast implants, limiting relative movement between the wrap and breast implant and reducing wrinkles. Tissue in-growth into the wraps limits movement of the wrap-breast implant assembly and thereby limits movement of the breast implant.