With the arrival of the intermodality era, to design fast and efficientKshortest paths (KSP) algorithms becomes gradually one of the core technologies in traveler information systems.Yenis a classical algorithm for KSP. However,Yenis time-consuming. In view of powerful general-purpose computing capabilities, GPU(Graphics Processing Units) has received increasing attention in various fields. Based on CUDA software development environment, combined with the structure of theYenalgorithm itself, this paper proposed two parallel algorithms forYen. The first parallel algorithm computes candidate shortest paths for very possible deviation nodes in parallel. The second one computes candidate shortest paths in serial, but computes very candidate path in parallel. Finally, the efficiency of the two parallel algorithms was tested through experiments.