This paper simulated the process of field loading test for laterally loaded rock-socketed piles by finite element method. The load displacement curves obtained were consistent with the field test results within the loading range, and the rationality of the numerical model is verified. Continues load increment was done until the pile failed using the numerical model to generate a full load - displacement curve. Based on the existing foundation reaction modulus Ki solution method, regression analysis was carried out with the field test data and the empirical formula of the initial slope Kh of the load displacement curves was obtained. Hence, a hyperbolic function theory for load displacement curve of laterally loaded rock-socketed piles was proposed. The accuracy of the proposed method was verified by contrasting with the field test curves. Using the conventional four laterally loaded rock socketed pile capacity calculation method, the numerical test was extended through laterally loaded pile top displacement curves analysis to carry out analysis of the applicability of the different methods. The method of hyperbolic function was suggested for calculation of the bearing capacity of rock-socketed laterally loaded piles after comparing the various methods.