In order to improve the accuracy of one-dimensional (1D) multi-camera calibration, a gradual calibration method based on the normalization algorithm is proposed, where the projective projection matrices are first obtained from the fundamental matrices and then transformed into the metric projection matrices. The coordinates of the image feature points of the calibration object are pre-processed by normalization, improving the accuracy of calibration and simultaneously maintaining the advantages of fast and easy implementation of the linear method. In the proposed calibration method, the 1D calibration objects can move freely without restriction of the site environment and are flexible to use as well. The simulation and real experiments demonstrate that the normalized feature point coordinates can substantially improve the accuracy and robustness of calibration results.