The center of a spherical target is often used as a feature primitive when large-scene point clouds are scanned. In the measurement of large-scene point clouds, the number of points in spherical target point clouds is small and suffers from non-negligible measurement errors, which reduces the precision of the sphere center fit and decreases the layout distance of the targets. To overcome these difficulties, a spherical target point cloud correction (STPCC) model is proposed to correct the positions of the target point clouds, which facilitates obtaining a more precise sphere center. There are five key steps for establishing the STPCC: analyzing the spatial geometric relationship between the laser and the spherical target, rasterizing the laser spot, deriving a unified ranging equation for subspots, constructing a two-dimensional Gaussian weight function, and establishing a correction model. The feasibility of STPCC is analyzed from multiple perspectives, and the application flow is described in detail. The experimental conclusions are as follows: 1) Following the correction of the large-scene target point clouds by STPCC, the fitting radius error, the residual RMSE (Root mean square error) and the error between the target spacing and the target baseline decreased to at least 1/5, 1/3 and 1/5, respectively, of those before correction. 2) STPCC can effectively correct the coordinates of the target point clouds to the target surface. The various errors of fitting the sphere center via STPCC are better than those of existing sphere fitting methods. 3) STPCC can improve the precision of large-scene point cloud orientation, and the orientation error after processing was reduced by more than 70% compared to that before processing.