This paper presents an application of adaptive LQG control to aircraft flutter suppression in the presence of Dryden turbulence. The adaptive LQG controller is integrated with a constant gain controller and furnishes the equivalent of a 180?? phase margin at the flutter frequency. The design approach blends the classical, LQG and adaptive techniques so that each contributes at its point of strength. The results presented are quite encouraging and motivate continuing work in this field.