Fast ignition method in inertial confinement fusion (ICF) is very important. In this method the compression and ignition are separated. In fast ignition method, D-T fuel is pre-compressing by laser or ion beams. In the second step of irradiation, relativistic electron beams will be generated because of interaction between high energy laser’s beams and the Aluminum layer located in front of the D-T fuel target. These electrons penetrate in high dense fuel immediately. Then energy deposition of these electrons leads to heat a small area in the target up to 10 keV. Finally this process is leading to ignite the D-T fuel. In this work, fast ignition method in spherical and cylindrical fuel chambers are investigated and traortion of the relativistic electrons are calculated by using MCNPX code. Electron flux and energy deposition rate in the D-T fuel target are calculated. Our computions are used for electron’s energy in the range 0.5 to 1 MeV. Calculations show that electrons with energy of about 1 MeV are apropriate to heat the fuel up to 1 MeV. In order to generate 1 MeV electrons, we have investigated laser interactions in the Aluminum layer of the target. For this purpose we have written a Fortran90 program to investigate laser-plasma interaction in Aluminum layer of the target. The results of this consideration show a laser beam with and pulse duration in picosecond can produced 1 MeV electrons in which needed in this process.