Laminated composite materials allow for tailoring of their elastic properties through deliberate selection of the orientation of their constituent laminas (referred to as ply angles). Among the achievable properties is a coupling between in-plane and out-of-plane deformation modes. Extension-Twist is a specific type of coupling which has applications in rotor blades to change the angle of attack with a change in rotor speed. The optimal Ply-angles for E-T coupling have been obtained in previous work using Sequential Quadratic Programming. Since the Objective and Constraints are highly nonlinear, there exist multiple local and global solutions. This work tried to explore through the use of Ant Colony Optimization (ACO), a global optimizer, whether there are any better designs than those obtained in previously work. It was verified that the E-T couplings obtained in previous work was global optimal. In addition, ACO produced new global optimal designs which were similar to the previous designs in terms of objective and constraint satisfaction.