Liquefaction of soils, defined as significant reduction in shear strength and stiffness due to increase in pore pressure. This phenomenon can be assessed in static or dynamic loading types. However, in each type, the inherent variability of the soil parameters dictates that this problem is of a probabilistic nature rather than being deterministic. In this research, a random finite element analysis is used for reliability assessment of static liquefaction potential of loose sand under monotonic loading. The Monte Carlo simulation was used for that purpose. The selected stochastic parameters are soil parameters such as unit weight, peak friction angle and initial plastic shear modulus. An elasto-plastic effective stress model is used that simulates the static liquefaction response of loose sands under monotonic loading. The modified Newton-Raphson method is used to consider the effect of changing material behavior in this research. Analysis process was performed in MATLAB code