Supplemented matrices comprising a PTH releasably incorporated therein, optionally containing a granular material, which are used to heal bone fractures, particularly bone fractures with a risk of becoming delayed unions or non-unions, are described herein. The PTH is incorporated either through covalent linkage to the matrix or through non-covalent interaction with the matrix and/or the granules. These supplemented matrices decrease the time of healing compared to autograft and or trigger healing of bone fractures which otherwise would not heal. The matrices are biocompatible, preferably biodegradable, and can be formed in vitro or in vivo, at the time of implantation. The PTH may be a part of a fusion peptide. PTH can be incorporated into the matrices with full retention of its bioactivity. PTH can be releasably incorporated in the matrix.