The paper investigates the temperature behavior and molten pool characters in the pulsed-selective laser melting (SLM) process. A three-dimensional finite element model is developed to simulate a multi-track single-layer SLM process. This model considers the temperature-dependent material properties which includes thermal conductivity, density. The simulated process consists of the heating, melting, phase change, solidification, and cooling phenomena in the powder bed. The SLM moving laser beam can be expressed as a surface moving Gaussian heat source. The numerical simulation results show that the laser power will increase the maximum temperature of the powder bed and increase the re-melting times of the powder. Step time and expose time are also affecting the maximum temperature and the re-melting times as given a constant laser power. The influence of different parameters on molten pool dimension follows the following order: laser power > step time> expose time. The temperature evolution and molten pool characters predicted by this model can be used to provide guidance for pulse-SLM process parameter optimization.