Abstract: This paper is a targeted effort to develop a mathematical model on the lateral force of conical pick under dif- ferent cutting conditions. The cutting conditions and characteristics of lateral force of conical pick were analyzed based on cutting mechanism and mechanics principle. The lateral force model was established by the conditional superposi- tion method of cutting lateral force and grinding extrusion additional lateral force. The lateral force load spectrum for different slope angles and cutting thicknesses was decomposed in frequency domain and time domain. The comprehen- sive theoretical model was modified by the correlation coefficient of lateral force model reversed by using least squares. The results show that the lateral force is formed by cutting and grinding extrusion additional lateral force. The lateral force model can comprehensively reflect the cutter tooth parameters,coal and rock properties and working parameters of quantitative relations. The experiments verify the theoretical model of the constitutive relationship and the accuracy of quantification. The random variation of lateral force high frequency load is less correlated with tilt angle. The main component 0 Hz steady state values of low frequency load amplitude and tilt angle were positively correlated. This research may provide an effective analysis method and basis for solving such problems as the axial force balance working mechanism and improving the stability of the equipment.