Abstract: In this paper, the globally asymptotical output-feedback stabilization problem is investigated for a class of nonlinear systems with unmeasured states dependent growth and stable zero-dynamics. Because of the existence of zero-dynamics, a series of novel linear transformations are first defined to successfully separate the zero-dynamics from the original system, and the new system is thus derived which is convenient for the output-feedback design. Then, a simple design procedure is given for the output-feedback control of the transformed system. Besides, the globally asymptotical stability of the closed-loop system can be guaranteed by the positive definiteness of the derived matrix. Finally, a simulation example is given to illustrate the correctness of the theoretical results.