In this era of big data, more and more models need to be trained to mine useful knowledge from large scale data. It has become a challenging problem to train multiple models accurately and efficiently so as to make full use of limited computing resources. As one of ELM variants, online sequential extreme learning machine (OS-ELM) provides a method to learn from incremental data. MapReduce, which provides a simple, scalable and fault-tolerant framework, can be utilized for large scale learning. In this paper, we propose an efficient parallel method for batched online sequential extreme learning machine (BPOS-ELM) training using MapReduce. Map execution time is estimated with historical statistics, where regression method and inverse distance weighted interpolation method are used. Reduce execution time is estimated based on complexity analysis and regression method. Based on the estimations, BPOS-ELM generates a Map execution plan and a Reduce execution plan. Finally, BPOS-ELM launches one MapReduce job to train multiple OS-ELM models according to the generated execution plan, and collects execution information to further improve estimation accuracy. Our proposal is evaluated with real and synthetic data. The experimental results show that the accuracy of BPOS-ELM is at the same level as those of OS-ELM and parallel OS-ELM (POS-ELM) with higher training efficiencies.