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In this study a stochastic approach is conducted to obtain the horizontal and rotational stiffness of an offshore monopile foundation. A nonlinear stochastic py curve is integrated into a finite element scheme for calculation of the monopile response in over-consolidated clay having spatial undrained shear strength. The random field is applied to represent the spatial variation of the soil properties. Monte Carlo simulation associate with an improved asymptotic sampling using normal and sobol sampling is utilized to generate the probability distribution of the foundation stiffness. It is shown that asymptotic sampling associated with sobol quasi random sampling is an efficient method to estimation of probability distribution in presented problems.