The problem of controller design for a class of nonlinear systems stability is discussed. A design method of generalized fuzzy hyperbolic model adaptive control with adjustable parameters is proposed according to universal approximation properties. The advantage of the design method is that the number of adaptive laws do not depend on the linear basis function of the output of the generalized fuzzy hyperbolic model, which can reduce the number of on-line parameters, and also guarantee the states of systems uniformly ultimately bound(UUB). Finally, a numerical example is given to illustrate the effectiveness of the proposed method.