In this article, A mix of different types of micro grid system (Hybrid Micro grid System-HMS) such as solar photovoltaic (PV) power, wind energy (WT), and diesel generators with storage system is presented. Multi-Objective Self-Adaptive a non-dominated sorting genetic (NSGA) algorithm is used to find the optimal sizing of a PV/wind/diesel HMS with battery storage for the city of Yanbu, Saudi Arabia. The problem of optimal component sizing is formulated in multi-objective optimization framework to analyze the Loss of Power Supply Probability (LPSP), the Cost of Electricity (COE), and the Renewable Factor (RF) in relation to HMS cost and reliability considering three objective functions, and is tested using three cases studies involving differing house numbers. The proposed algorithm is carried out on the city of Yanbu with various cases.