Since the recent research has shown the importance of biological control in many biological systems appearing in nature, this research paper investigates research in the dynamic and chaotic analysis of the generalized Lotka-Volterra three-species biological system, which was studied by Samardzija and Greller (1988). The generalized Lotka-Voterra biological system consists of two predator and one prey populations. This paper depicts the phase portraits of the 3-D generalized Lotka-Volttera system when the system undergoes chaotic behaviour. The anti-synchronization of master and slave chaotic systems deals with driving the sums of the respective states of the two systems to zero asymptotically with time.Next, this paper derives adaptive biological control law for achieving global and exponentialanti-synchronization ofthe states of the generalized Lotka-Volterra three-species biological systems with unknown parameters. All the main results are proved using Lyapunov stability theory. Also, numerical simulations have been plotted using MATLAB to illustrate the main results for the three-species generalized Lotka-Volterra biological system and its adaptive anti-synchronization.