The roll of consumption energy forecasting is very important to make planning of time-horizon strategy, and to mitigate a great energy management. As a result, improving the sustainability of energy, and creating a clean environment. Aiming to develop the forecasting of consumption energy in different time horizons, this work gives the results of a new hybrid method, which combine deep echo state network (DeepESN), with Binary genetic algorithm (BGA). DeepESN is an extension of Echo state network (ESN), which integrates the strong nonlinear time series processing capability (of ESN) with the advanced learning characteristic of the deep learning models. BGA is another version of genetic algorithm optimization methods that can be applied to find the best values of architecture hyperparameters of deep learning models, basesd on binary decoding of his chromosoms. In this work, we compared the accuracy and performance of proposed model DeepESN-BGA with other deep learning methods. It is found that DeepESN-BGA have a fast processing compared with other models. In addition, it gives best results based on error metrics, compared with DeepESN without BGA, and other deep learning models, in different time horizon forecasting. Proposed model has been compared also with DeepESN-DE, DeepESN-GA, and DeepESN-PSO aiming to evaluate the performance of BGA in term of deep learning optimization. DeepESN-BGA gives statistically good result compared with other hybrid models.