TiAl intermetallic compound has attracted extensively interesting for many years due to its high melting temperature, adequate high-temperature strength, excellent oxidation, corrosion resistance, and good strength retention ability and low density. For this reason, detect the mechanism of its formation and a method for accelerating the diffusion process. Two distinct methods of spark plasma sintering () and molecular dynamic simulation (LAMMPS software) and the EAM potential were used. In the first method, molecular dynamic simulation for the detect formation mechanism of Ti-Al was used. The molecular dynamic simulation had been employed as a suitable replacement for study in the system's atomistic behavior. In this way, the sample was annealed at 300K, equaled in 300K, then annealed to 900K, and equaled in 900K, the samples were heated at different temperatures (1100, 1450°C) and then the sample was equaled temperatures in many times. In this way, the investigated effect of Fick’s second law in reaction mechanism and the rate of the formation and reaction progress depends on the diffusion coefficient of atoms and the