The viscous shock layer numerical solutions to the hypersonic chemically equilibrium laminar flows are presented. These results are obtained by the spatial marching method. The comparision with the resu1ts of reference 8 is made to assess the accuracy of the present method. This method，which fully couples the governing equations，gives the accurate and stable results. These results are comparedwel1 with those from reference 8. A chemical equilibrium model，whick is based on the Free-Energy-Minimum principle，is used. For this model，it is convenient to choose the species. The steepest descent method is used to make the chemical ecuilibrium model easily implemented.