Parallel tree skeletons are basic computational patterns that can be used to develop parallel programs for manipulating trees. In this paper, we propose an efficient implementation of parallel tree skeletons on distributed-memory parallel computers. In our implementation, we divide a binary tree to segments based on the idea of m-bridges with high locality, and represent local segments as serialized arrays for high sequential performance. We furthermore develop a cost model for our implementation of parallel tree skeletons. We confirm the efficacy of our implementation with several experiments.