Chondrocytes will differentiate and become hypertrophy in endochondral ossification. In this process, core binding factor α1(cbf-α1), promotes the hypertrophy of the chondrocytes. But parathyroid hormone related protein (PTHrP) can delays this process through Cbf-α1-dependent and independent pathways. The following are my summarizes, on which we clearly stated about the affects of Cbf-α1 to chondrocytes and PTHrP to endochondral ossification. We also showed that how PTHrP delays the hypertrophy of the chondrocytes and how PTHrP inhibits the impression of cbf-α1.