The recursion relations of random frustrated Ising spin systems on the Sierpinski gasket placed into an external magnetic field are carried out. Spin glass (SG) and model at zero and non-zero temperature are investigated. Numerical results show the effect of the external magnetic field on the flow of the probability distribution, the scaling properties of stiffness energy and the mean value of the exchange couplings. The free energy decreases exponentially with the external magnetic field. It increases algebraically as the concentration of negative bonds increases.