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For global navigation satellite system ( GNSS) in the application of high earth orbit ( HEO) de-termination,there are problems such as small number of visible satellites and weak signal magni-tude.The transmitting and receiving errors of GNSS signal in the environment of HEO space are an-alyzed,and related compensating scheme is also proposed.Acquisition of GNSS signal is implemen-ted by using weak signal acquisition technology based on Duffing.Precise tracking of weak GNSS signal is also realized by adopting dynamic detection and compensation technology based on Duffing chaotic oscillator.Simulation results show that,certain acquisition sensitivity and navigation preci-sion can be reached,and the acquisition and tracking of weak GNSS signal can be realized by using the proposed technology,which provides good technology support for autonomous navigation of HEO and large elliptical spacecrafts.