This paper investigates the control of chaotic oscillatator, viz. Colpitts chaotic oscillator by adaptive feedbackcontrol method. Our theorem on control for Colpitts oscillatior is established using Lyapunov stability theory. The adaptive feedback scheme links the choice of a Lyapunov function with the design of a controller. The adaptive control is convenient to estimate unknown parameters in chaotic systems. In practical there is no derivative existing in controller part, so it reduces the cost of controller design. Numerical simulations are also given to illustrate and validate the results derived in this paper.