As Wu’s method, based on symbolic computation, has found applications in more and more fields, it is challenged by more and more complicated calculation problems. The soul of the method, dividing and ruling problem, is very suitable for distributed computation. In this paper, a high performance computing technique is introduced into the symbolic computation and a distributed computing model (DCM) for Wu’s method over Internet is put forward. First, the feasibility and requirement for distributed computation of Wu’s method is analyzed. Then the data communications for big integers and polynomials are put forward in detail, and finally the design and implementation for DCM based on ELIMINO and Globus Toolkits 3 are presented.