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WIA-PA protocol is a new type of international communication standards for industrial wireless sensor networks. With the incensement of the number of the sensor nodes in the WIA-PA network, the overhead and the energy consumption of the whole network appear to be very large based on the traditional reference broadcast synchronization algorithm RBS and its modified version algorithm ERBS. In order to solve this serious problem, this paper puts forward a kind of energy efficient local optimal algorithm for the time synchronization process. The algorithm solves out the average phase deviation according to the adjacent receiving node under the condition of multiple reference broadcast messages, and then carries out maximum posteriori estimation for this calculated phase deviation, and finally adjusts the local clock according to the estimate. The simulation results show that the synchronous accuracy of the proposed time synchronization algorithm is about 168% higher than that of RBS and is about 24% higher than that of ERBS. At the same time, the energy consumption in the process of time synchronization is also greatly reduced。