We present a parallel version of the algorithm that simulates thermal erosion [11]. The algorithm splits the input data into the strips that are assigned to different processes and runs the erosion in parallel. When this task is finished the processes exchange information about the material transported through their boundaries, update their data, and run new erosion step. We use message passing for process synchronization. First, the information about the material transported through the boundary is saved into files and then messages are sent to the corresponding processes informing that their data is ready. Using files for process synchronization assures the implementation to be platform independent. The parallel version is stable and runs very well on large data. We have achieved speedup 8.4 on ten CPUs. With small data the method is devoting too much effort to communication and the speedup decreases. We have tested this algorithm on the 3D map of martial surface obtained from Mars Global Surveyor