Speech recognition technology has been widely used. Considering a training cost of an acoustic model, it is beneficial to reuse pre-existing acoustic models for making a suitable one for various apparatus and application. However, a complex acoustic model for high CPU power does not work for low CPU power. And a simple model for fast-processing-demanded application does not work well for high-precision-demanded ones. Therefore, it is important to adjust a model complexity according to apparatus or application, such as a number of mixture of Gaussians. This paper describes a new model-integration-type of training for obtaining a required number of mixture of Gaussians. This training can alter a number of mixture into a required one according to a specification of apparatus or application. We propose a model integration rapid training based on maximum likelihood, and evaluate the recognition performance successfully.