Abstract: Abstract:The differential quadrature(DQ)method is firstly applied to solve three dimensional incompressible Navier-Stokes equations in primitive variable form with the fluid structure interaction(FSI).The flow passage used in the present paper consists of four rectangular plates,two of which are elastic and others rigid,and the elastic plates are vibrating while the fluid are flowing. To compare the influences of FSI on the pressure fields,the size of the flow passage is designated to 1.5m×0.5 m×0.2 m as a working example. The DQ mesh sizes of 25×25×25 and 29×29×29 were used for Reynolds numbers of 7000 and 10 000,with and without FSI,respectively. The numerical results show that the developed DQ method with FSI is a suitable tool to analyze hydrodynamic pressure on a vibrating plate,and the effects of FSI on the flow fields are significant.