Based on the dual-hyperbolic two-temperature and double-step heat conduction model ,numerical simulation for the electron and lattice temperatures field of gold film is performed by ultra-short laser pulses, using the finite-difference method with viscosities and adaptive time steps. The temperature distributions of the electron and lattice at the front surface with different laser intensities and pulse widths were discussed. Simultaneously, it is also analyzed that the effect of the electron- lattice coupling coefficient on the change of electron-lattice temperature and the time of electron-lattice coupling to thermal equilibrium. Numerical results show that the laser intensity and pulse width impact significantly on the peak of the electron temperature, and electron lattice temperature rising rate and coupling time are determined by the coupling factor. Eectron temperature and its gradient quickly reach the maximum in a small region near the irradiated surface, corresponding with high hot-electron blast force, which could be a dominating mechanism for mechanical damage at the early stage of ultra-short laser ablation.