Weighted mean temperature (Tm) serves as a crucial parameter in converting tropospheric zenith wet delay into precipitable water vapor in global navigation satellite system meteorology. Different from the traditional strategy, this study developed a new method of atmospheric Tm grid model construction with high precision and high spatiotemporal resolution while taking into account the hourly near-surface air temperature lapse rates (NSTLR). Core research contents include the regional hourly NSTLR estimation and Tm grid model establishment. This proposed method was validated and analyzed using measured data from 109 meteorological stations in Shandong Province, located in eastern China. The result shows that compared with the correction by environmental lapse rate, the overall accuracy of the Tm grid model established by the hourly NSTLR correction can be improved by about 10.3% and 19.4%, respectively, when Tm reference values calculated based on the measured temperature and ERA5 reanalysis data were used. Furthermore, statistics show that for the Taishan Station with the highest altitude (1543 meters), the accuracy can be increased by 21.1% and 28.7%, respectively. Therefore, the proposed method is of great practical significance for the Tm construction by using ground-based meteorological observation, especially for the areas with large terrain changes.