This paper proposes a fault tolerance approach for OpenMP programs, named PR-OMP, which makes use of a novel fault recovery scheme, parallel recomputing. By redistributing the workload of the failed thread to all the surviving threads, PR-OMP remarkably reduces the overhead for fault recovery. The paper discusses the key issues including program division, computational state saving, workload redistribution, and fault detection of PR-OMP and details concerning implementation. Furthermore, the paper also presents an extended data flow analysis for OpenMP, which is used to decrease the data amount of computational state saving. Through the experimental evaluation, it has been proven that this approach achieves a minor overhead in fault recovery.