The Stochastic Schemata Exploiter (SSE), one of the Evolutionary Algorithms, is designed to find the optimal solution of a function. SSE extracts common schemata from individual sets with high fitness and generates individuals from the common schemata. For hyper-parameter optimization, the initialization method, the schema extraction method, and the new individual generation method, which are characteristic processes in SSE, are extended. In this paper, an SSE-based multi-objective optimization for AutoML is proposed. AutoML gives good results in terms of model accuracy. However, if only model accuracy is considered, the model may be too complex. Such complex models cannot always be allowed because of the long computation time. The proposed method maximizes the stacking model accuracy and minimizes the model complexity simultaneously. When compared with existing methods, SSE has interesting features such as fewer control parameters and faster convergence properties. The visualization method makes the optimization process transparent and helps users understand the process.