As functional and non-functional requirements on safety critical real time systems stack up, the development of multi-core technology in these systems has become a trend. How to guarantee the credibility and reliability on the multi-core platform, however, is the key problem in both academic and industry. While many theoretical and applied achievements have been accomplished on the single-core platform, there are still a lot of scientific problems need to be solved on the multi-core platform. Suitable for describing concurrency behaviors, synchronous language SIGNAL is a formalism widely used in the functional design of safety critical real time systems. The SIGNAL compiler supports generating the simulation code from the synchronous specification to verify and analyze the properties of the system model. However, existing studies pay less attention to the generation of multi-platform parallel simulation code from SIGNAL specification. This paper proposes a methodology for automatically generating parallel code from SIGNAL specifications. First, equation dependency graph (EDG) is defined and the specification is translated to analyze the global data dependency relations. Then EDG is partitioned to explore the parallelism of the specification. Finally, altogether with clock relations, parallel tasks are mapped into OpenMP structures. A case study is provided to illustrate the proposed methodology.