Abstract. In order to improve the convergence of nonlinear simulation of wind pressure on buildings by turbulence theory pattern, QSMA technique is proposed based on full implicit marching-on in time method in CFX. During marching-on in time, the unit time step and non-convergence tolerance test are employed to approximate the steady state solution in this technique. Comparing with the traditional method, the proposed technique can reduce the restriction for time step and requirement for the target tolerance significantly. It is mathematically proved that the time discretization scheme is stable and the error transfer tends to zero with QSMA technique. Through numerical analysis for flow around Marakami 3D cubic, the research result indicates that solution accuracy and time consumption of QSMA are consistent with traditional steady state method, but the convergence is better.