The digital measurements of the back cover of a telephone receiver were carried out by a three dimensional measuring machine and the data point clouds of the contours were got. Using reverse engineering software, Imageware, the data point clouds were processed, including of data smoothing, data reducing, data point clouds resample, feature lines extracting and curve fitting. Based on the shape features of the research object, the 3D model of the back cover of the telephone receiver were reconstructed with the boundary curves and the scanning data point groups successfully. Precision evaluation was carried out to the 3D model and the error controlled within 0.2mm.