The magnetization, magnetic susceptibility, internal energy and magnetic specific heat are calculated by using Monte Carlo simulation. It was applied for spin glasses (SG), ± J model, ferromagnetic (FM), and antiferromagnetic (AFM) systems on Siérpinski gasket of less than or equal to 366 Ising spins in the presence of an external magnetic field. The magnetization decreases with increasing both of the temperature and concentration of negative bonds. While on the opposite side, it increases with increasing the external magnetic field. Peaks were found in the plots of magnetic susceptibility and specific heat versus temperature or magnetic field. The internal energy increases with increasing the temperature and decreases with increasing the magnetic field. Our theoretical results are in good agreement with published experimental ones.