Vibration is a phenomenon that has been studied extensively due to its destructive effects such as causing the neurosis and noise and destruction of machinery parts, to eliminate vibrations, various techniques have been implemented including design of new structure and using vibration absorbers. Among these solutions, vibration absorbers have received special attention due to their application-oriented essence.Smart materials have special characteristics that make them suitable for utilization in tuned vibration absorbers. Among smart materials, shape memory alloys (SMA) are under the spotlight due to their phase change and super-elastic characteristics.In this thesis, an adaptive tuned vibration absorber made from shape memory alloy has been analyzed. In this analysis, an aluminum beam with support motion is considered as the objective system and a SMA beam is connected to the end of the aluminum beam as a vibration absorber. First, specific behaviors of shape memory alloys are simulated using constitutive equations. A code is also developed for simulation of vibration of the beam with support motion and a concentrated mass on its other end. For vibration analyzing of a shape memory alloy beam first it is tried to analyze it with ABAQUS. But it is cleared that because of the special beam element in ABAQUS that it does not have any control on cross section for deriving the results, this method is not usable. Then the vibration equations is derived with noticing that the module of elasticity changing with stress and is tried to solve this equation with finite difference, but it is showed that with this method the results are diverged. So it is considered that the module of elasticity does not change with stress and just change with temperature. Results show that the shape memory alloy beam has less deflection due to super elastic property and hysteresis cycle that dissipates energy and by exciting the shape memory alloy via heating and consequently changing the phase from Martensite to Austenite, which results in a change in system’s stiffness, the natural frequency of the system, can be altered to avoid resonance. Considering the results, shape memory alloys seem to be appropriate for using as absorbers.Then a system consisting of an aluminum beam as the objective system and another one made from shape memory alloy with a mass an end mass, which is connected to aluminum beam, is analyzed. Results’ examination demonstrates that shape memory alloy has a satisfactory performance as an absorber. In addition, by exciting the shape memory alloy wires, which results in a change in their phase, the system’s stiffness is changed and the natural frequency of the system is relocated. This may be used to avoid resonance in the system. Key Words: Vibration, Shape Memory Alloy, Absorber, Tuned, Damping