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planetary gearbox is a kind of commonly used in industrial machinery and vehicle transmission system, its long-term operation and load lead to the risk of weak vibration failure, by studying the characteristics of the planetary gearbox weak vibration fault and trend, can find potential signs of failure in advance, improve the safety of the gear box. However, the weak vibration signal of planetary gearbox has complex time domain and frequency domain characteristics, and its vibration signal is very weak, and rich in a large amount of noise, which brings great difficulty to the fault detection work of planetary gearbox. Therefore, the method of detecting weak vibration fault based on least squares and SSA algorithm is proposed. Simate the working and vibration process of planetary gearbox, and set the weak vibration fault detection standard according to the operating characteristics of the gearbox under different faults. Collect the weak vibration signal of the planetary gearbox and reduce the noise content of the planetary gearbox by least squares. The SSA algorithm is used to extract the weak vibration signal features of the planetary gearbox, and to obtain the detection results of fault types and fault parameters according to the matching between the extracted features and the setting standard. Through the performance test experiment, the conclusion is that the signal-to-noise ratio of the weak vibration signal of the planetary gearbox is significantly reduced, the fault detection range is expanded by 353.94mm2, and it has a good detection ability.