Based on one region continuum model for alloy phase transformation, thetransient fluid flow and temperature fields for pulsed Nd:YAG laser surface remelting havebeen calculated by using numerical simulation method. The absorption (melting process) and release (solidifying process) of latent heat, the heat loss by alloy elements vaporization, radiation, and natural convection are included in the solving conditions of the energyequation. The thermocapillary and buoyancy driven flow are included in the solution of momentum equations. According to the experimental condition, the melted region shapes and sizes are calculated for 1Cr18Ni9Ti stainless steel in pulsed Nd:YAG laser surface remelting of lower frequency and a shot pulse duration. It is revealed that a two dimensional axisymmetric model can properly simulate the transient fluid flow in the melted region and the melted region shapes for either individual pulse or a series of pulsed overlapping remelting regions.