The optimization of linear flutter behavior of the thin plates made from tow-steered fiber-reinforced laminates is investigated. In the tow-steered variable stiffness composite laminates, the fiber reinforcements are assumed to follow prescribed curvilinear path orientations according to a linear function of geometry longitude. The effect of location-dependent fiber reinforcements is taken into account in the integration procedures. A stream is considered to travel over the panel area in different heading directions. The flutter response of the laminated panel is then improved by adjusting the fiber placement properties through applying a genetic algorithm optimization procedure. The isogeometric analysis method based on the cubic nonuniform rational B-splines is developed. The accuracy and reliability of the optimization process is shown through some representative comparisons. The effect of changes in the flow direction, panel edge constraints, and layup characteristics are inspected.