  With an integrated software package {\tt GRACE}, it is possible to generate
Feynman diagrams, calculate the total cross section and generate physics events
automatically. We outline the hybrid method of parallel computation of the
multi-dimensional integration of {\tt GRACE}. We used {\tt MPI} (Message
Passing Interface) as the parallel library and, to improve the performance we
embedded the mechanism of the dynamic load balancing. The reduction rate of the
practical execution time was studied.
