Abstract: The stability of a FGM beam under the action of thermal loads and a uniformly distributed tangential follower force is analyzed. The material properties(Young’s modulus and mass density) of the beam are assumed to be varied continuously through the height direction according to a simple power-law distribution in terms of volume fraction of material constituents, and to be temperature-dependent. The temperature distribution of FGMs is assumed to be varied through the height direction following a one-dimensional steady-state heat conduction equation. The variation of Young’s modulus along the thickness of the beam for different values of graded index and temperature are calculated. The governing differential equations built on Euler-Bernoulli beam theory for the FGM beam are solved by using a WDQ method. The effect of the graded index, temperature, and follower force on vibration behaviors and stability of a simple supported non-conservative FGM beam are discussed.