Chaos in nonlinear dynamics occurs widely in physics, chemistry, biology, ecology, secure communications, cryptosystems and many other scientific disciplines. Chaotic systems have many important applications in science and engineering. This paper derives new results for the analysis and adaptive control of a chemical chaotic attractor discovered by Haung (2005). This paper starts with a detailed description of the chemical reactor dynamics and the parameter values for which the chemical reactor exhibits chaotic behaviour. Next, adaptive control law is devised for the global chaos control of the chemical chaotic reactor with unknown parameters. The main results for adaptive control of the chemical chaotic attractor are established using Lyapunov stability theory. Next, the main results are illustrated with numerical simulations using MATLAB.