The orbit of low earth orbit (LEO) space objects are closely related to atmospheric density, and the precision orbit information can be calculated by satellite laser ranging observation data, therefore, the precision orbit information can be used to derive atmospheric density through the drag perturbation equation of semi-major axis of LEO space objects. Based on the theoretical principle above, the paper calculates the precision orbit information, atmospheric drag coefficient and area-to-mass ratio, then derives atmospheric density with a high temporal resolution from precise orbit data through the drag perturbation equation of semi-major axis of LEO space objects which relates the change rate of the semi-major axis to the atmospheric density, and evaluates the atmospheric density accuracy through comparison between each atmospheric density model and atmospheric density derived from precise orbit data. The result shows that the accuracy error of atmospheric density derived from precise orbit data is around 10%~30% during solar flux and geomagnetim quiet period, which indicates the method provides an effective and reliable way to obtain extensive and accurate atmospheric density. In addition, atmospheric density strongly relates to solar flux and geomagnetic activities. During high solar flux period, the accuracy error of atmospheric density derived from precise orbit data is around 50%~ 80%; and during geomagnetim disturbance period, the accuracy error of atmospheric density derived from precise orbit data increases significantly, which is around 80%.