Fusio by Inertial Confinement Fusio (ICF) ca be performed i different approaches, including central ignition, fast ignitio and shock ignition. Since central ignitio have much instability, it can not produce high gain. Instead, fast ignitio and shock ignitio are proposed. I these approaches, instability is reduced by defining two phases: compression and ignition. I fast ignition, the beam of energetic particle driving the ignitio proce are caused by irradiation Pettawatt-Laser. Proton beam are the best choice for this process. The traort of these particles in burning target is done by MCNPX. Following this traort, hot spot formation occurs at the center of the target. I this project we have studied fast ignitio in cylindrical and spherical targets. Shock ignitio is the most recent method used in ICF. This method is called a intermediate approach, because it is a combination of the other two approach. This intermediate approach has borrowed simple structure of target from central ignition and process phases from fast ignition. I thi approach we use two general and conceptual base including: the increase of pressure caused by convergence of waves into the target and the collision of two shocks. The physics of this proce and the determining parameter of thi approach have defined and the gai of this approach are finally analyzed by governing relatio i ICF analyzed finally. Thi analysis show that it is possible to have a magnitude of 80 for the gai in shock ignition, while gai in central ignition can have a maximum value of about 30.