In order to study the influence of the time-varying turbulence to facular orientation precision when the facula is moving during the pointing and tracking process, a random phase screen is generated using modified inverse fourier transform to simulate atmospheric turbulence. And then the orientation deviation of the facular barycenter, the relation between the deviation and the facular position in the detector and the orientation precision of the facula is analyzed under different atmospheric turbulence intensity. The results indicate that at the presence of time-varying atmospheric turbulence, there is a deviation between actual translational amount of the facular barycenter and that of the barycenter detected by the charge-coupled device and it relates with the atmospheric turbulence intensity. And the dynamic facular orientation precision is found that it relates to the atmospheric turbulence intensity and the facular position in the detector.