To address the problems of poor stability, incomplete information, and low efficiency of geometric parameter measurement in the production of spiral point taps, a fast non-contact measurement method based on line laser scanning is proposed. Firstly, the non-contact measurement kinematics model for spiral point taps is formulated, which is based on the homogeneous transformation theory. After the preprocessing of measurement data, the full-information surface reconstruction of spiral point taps is realized based on multi-view splicing. Then, a point cloud segmentation method and an edge line extraction algorithm considering the surface characteristics of spiral point taps are proposed. On this basis, the geometric parameters, such as the rake angle, spiral pointed angle, core diameter, land width, etc. of taps are calculated comprehensively and efficiently. Finally, the measurement repeatability and comparison experiments are implemented on the CNC machine tool for the spiral point tap in the production process. Results show that the average measurement efficiency of the proposed method increases by 3.88 times and the maximum relative measurement error is less than 2%, which evaluates the feasibility of the measurement system and has good measurement repeatability and accuracy.