In this paper, Differential Equations of Motion (DEOMs) of three axis gimbals platform are developed by using Lagrange’s Approach. Gimbaled platform presented here consists of four interconnected bodies – stationary case, outer gimbal, inner gimbal and platform, each having one degree of freedom. The Lagrangian Approach is based on scalar quantities i.e. energy contained in the system unlike the other approaches which depend on vector quantities like forces and torques. Thus for a complicated system, one presented in this paper, Lagrange’s Approach is the suitable method to develop DEOMs. DEOMs are then rearranged to get System State Equations.