In this study, vibration control of smart curved beam with variable curvature under in plane vibration is studied. The current problem is mathematically represented by differential eigenvalue problem with variable coefficients. Since the solution of these types of problem is based on the functions of the variable coefficients, Finite Element Method is used to reduce the differential eigenvalue problem to discrete eigenvalue problem. A computer code is developed in ANSYS to model the geometry and solve the vibration control problem by using APDL (ANSYS Parametric Design Language). Vibration control is performed by displacement feed-back algorithm. The effects of control parameters on time response are investigated.