Recently, speech recognition technique has started being used in various products. In order to make a good acoustic model, usually a lot of training speech data is needed. However, due to the right of voice and privacy issues, it is not easy to collect a lot of training data. Statistical models which have been trained and transformed from speech data do not have the above mentioned problem, and are comparatively easy to obtain. Therefore, a training technique which can make an acoustic model by using statistical models as training data is preferred. This paper describes a new method called Rapid EM Training based on Model-Integration and shows that the proposed method is evaluated positively.