Parallel computing in doubleprecision floatingpoint arithmetic will be out of accord with the requirements of the computing precision in high performance computing in the future. However,there is no solution to parallel computing in super doubleprecision arithmetic with high performance. Based on the wildly used parallel programming language MPI,this paper presents a solution of doubleextended precision parallel computing. The correctness and performance of this solution is validated by a precisionsensitive BBP algorithm which is used for the computation of Pi.