One of the challenges in power distribution systems, it’s how to connect and control different types of generation into one station this called a Micro-Grid. The general idea for this paper is build a new simulation model for a Micro-Grid. Developing of renewable energy systems is an increase in the world because most types of resources for this generations need natural atmospheres such as the sun and air they are not harmful to the environment. A Micro-Grid is an electric grid that contains all types of generations (distributed generations, energy storage system devices and different loads). In this paper we discuss by steps modelling, analysis and control of Micro-Grid consists PV array, Battery storage, DC/DC converter, DC/AC inverter and controller with various loads (RLC & RL load) in MATLAB-SIMULINK.