Aero-engine is the heart of the aircraft. If a failure of aero-engine occurs during the flight, it will be a direct threat to flight safety of the aircraft, so the aero-engine health management came into being, and the prediction is a very important part of it. This paper was focused on the prediction methods of health management. Firstly, we introduced the research status of the aero-engine prediction methods, and then proposed a prediction method of nonlinear time series analysis using C-C method and BP-Adaboost algorithm, at last, a simulation example was given to illustrate the validity of the method. Experimental results indicated that the method has the advantage of high prediction precision, and to some extent, it can provide a reference for the maintenance plan.