Chaotic motion in a fluttering wind turbine blade is investigated using an efficient analytical predictive model that is then used to suppress the phenomenon. Flutter is a dynamic instability of an elastic structure in a fluid, such as an airfoil section of a wind turbine blade. It is presently modelled using generalised two degree of freedom coupled modes of a blade airfoil section (pitch and plunge) combined with local unsteady aerodynamics, based on flutter derivatives and a continuous bilinear lift curve under damping. The mode coupling causes instability and limit cycle behaviour due to a Hopf bifurcation that may lead to period doubling and chaotic behaviour after the critical flutter speed. New closed form conservative analytical conditions for blade flutter chaos are identified and discussed for the wind turbine section taking into account the blade geometry and optimal design of the wind turbine. These predictions are numerically verified for a range of conditions including stall slope and damping. The results confirm that blade flutter chaos can occur due to nonlinearities in the aerodynamics i.e. due to a bilinear lift law. This phenomenon is then suppressed to unrealistically high wind speeds and/or eliminated by quantified variation of system parameters using the predictive model. The results show that small changes in tip speed ratio (-15%) and stall slope factor (-17%) can eliminate or suppress chaotic flutter while in general larger changes in dynamic parameters (ie mass, stiffness, damping) are required to achieve the same, by detuning the coupled plunge and pitch natural frequencies or damping out overlapping parametric resonances. General insight is also provided into the occurrence and suppression of airfoil flutter chaos in aeroelastic structures like wind turbines.