Abstract: Based on the virtual displacement principle of finite element method,a weak variation of GAO-YONG turbulence equations is put forward. The subroutine of the element and the integrated finite element code are generated by the finite element program generator(FEPG)successfully. The numerical simulation about the lid-driven cavity flow is conducted. The vorticity contour in the cavity and the velocity changing curve of cavity's central lines are acquired and agrees with the established results very well. The Gao-ong turbulence equations able to gain real viscosity field in complex flow is proved. The engineering application foundation of the Gao-Yong turbulence equations is established.