BN films composed of c-BN(70%) and h-BN(30%) phases have been synthesized by the ion beam assisted deposition (IBAD) process and stabilized by post-annealing. Boron was e-beam evaporated at 1.2 $AA$/sec and nitrogen was ionized and accelerated at about 100 eV by the end-hall type ion gun. Substrates were negatively biased by DC 400 and 500 V, respectively, and heated at $700^{circ}C$. Synthesized BN films were in-situ post-annealed at 700 or $800^{circ}C$, respectively, for 1 hr without breaking vacuum. BN films without post-annealing were peeled off from substrates immediately when they were exposed to the air while those with post-annealing at $800^{circ}C$ were stabilized. Post annealing reduced the film stress from 4.9 GPa to 3.4 GPa, but no considerable stress release in the c-BN phase was observed, contrary to previous reports that the stress relaxation in the c-BN phase is the main mechanism for the stabilization. Structural and chemical relaxation of non c-BN phase is supposed to be responsible for the film stress reduction and, in turn, stabilization, especially when the c-Bn content of the film is not high.