In this study, Adomian Decomposition Method (ADM) is employed to investigate free vibration of nonuniform Euler beams with variable stiffness resting on an elastic foundation. ADM is an efficient technique for the solution of problems defined by linear or nonlinear differential equations. ADM produces an analytical approximate expression which is continuous in the solution domain. This work shows that ADM is an effective method for free vibration analysis of nonuniform Euler beams on elastic foundation. Several case problems have been solved by using the technique and solutions have been compared with those available in the literature.