Discrete point interpolation has emerged as a prime candidate technology for dual-station accurate intersection in 3-D precise measurement. However, the operation is low-efficiency for capturing multiple reference points to measure a single target point. The quantitative model of linear small angle in the interpolation is proposed by analyzing the movement trajectories of laser beam and laser spot. An efficient method for 3-D precise measurement using laser spot traversal and target point interpolation is proposed to achieve accurate intersection without multiple approximations. The laser spot traverses the field of view of the camera to establish an interpolation grid. The target point inserts the traversal grid and can be aimed by laser beam in arbitrary position. The traversal step size is determined by the determining equation of linear small angle. The approach is time-efficient for capturing all measured points in the field of view. The experimental results show that the proposed method is suitable for multiple points and surface measurement.