Abstract: In this paper, the propagation errors caused by the path delay of the signal passing through the ionosphere and the troposphere in the process of the entangled light signal in the quantum satellite positioning system are studied. According to the relationships between the ionospheric path delay, the entangled light frequency and the total free electron content of the ionosphere per unit area of the entangled light propagation path, three kinds of ionospheric path delay correction schemes are proposed, and the advantages and disadvantages of each scheme are analyzed. We also study five tropospheric path delay correction schemes based on the relationships between tropospheric path delay and meteorological parameters, and the relationship between meteorological parameters, latitude, altitude and annual product date. The advantages and disadvantages of each correction scheme are analyzed. The correction methods studied in this paper can increase further the accuracy quantum satellite positioning systems.