In this paper, dynamic stability of a laminated composite beam subjected to a tip follower force is investigated. Using elementary theory of bending, Euler-Bernoulli beam theory and Classical Lamination Theory (CLT), bending moment of laminated composite beam is calculated with respect to it’s extensional, bending and bending-extensional coupling stiffness matrices, A, B and D, and dynamic stability equation of laminated beam is established. Due to similarity between this equation and isotropic stability equation, as an assumption, isotropic beam boundary conditions are used for composite beam. Cantilever- free boundary conditions are used and a closed form solution is established. Flutter instability problems for symmetric and un– symmetric laminated beams are solved by this method and results are compared with finite element results in literatures. Considering the simplicity of the present method, results show good agreement with the finite element method. Finally dynamic stability behavior of laminates with different stacking sequences are investigated by present method and effect of different parameters such as fiber orientation, number of layers, and stacking sequence, on the flutter load and corresponding frequency of symmetric and un -symmetric laminates are investigated.