Short-time dynamic scaling analysis method is applied to investigate the phase transition of a ferromagnetic Ising chain model on the simple cubic lattice. The phase transition temperature T-c is determined from the time evolutions of inagonetization M(t) and square magnetization M-2(t) at temperatures near T-c. The resulted T-c is consistent with that obtained from the annealing Monte Carlo method. The short-time dynamic behaviors of magnetizations near the transition temperature are also studied. We find both M(t) and M-2(t) show power law decay near T, after a very short time period T-mic approximate to 100 Monte Carlo steps. (c) 2006 Elsevier Ltd. All rights reserved.