The Free Mesh Method (hereinafter referred to as "FMM") has a good compatibility with the parallel computing. But, the conventional FMM has a problem in accuracy. Recently, The Enriched FMM (hereinafter referred to as "EFMM") was proposed by Yagawa et al. This paper describes the parallel EFMM, intending the large scale analysis by saving of times. Saving of times is attained by domain decomposition. The parallel EFMM code is developed and employed on a cluster system.