Aiming at the projector distortion and the change of fringe periods and fringe series, a calibration method of single period fringe and double four-step phase-shifting algorithm was proposed. Designing and generating two groups of horizontal and vertical single period grating fringe images respectively, the camera captures the single period grating fringe images which projected onto the calibration plate with circular logo at the same time, and superposes the two phase master maps which obtained by double four-step phase shift and unwrapping the phase master map. Then the pixel coordinate of projector is calculated by the unwrapping absolute phase. Finally, the projector calibration is converted into a mature camera calibration. Experimental results indicate that the maximum re-projection error and the root mean square error of the projector calibration precision of simulation experiment are about 0.4 pixel and 0.132 96 pixel respectively. The maximum re-projection error and the root mean square error of the projector calibration precision of simulation experiment are about 0.46 pixel and 0.143 12 pixel respectively. Compared with the existing projector calibration methods of projecting fringes by tri-frequency phase unwrapping, 8 grating images can be reduced by the proposed method. The shortcomings of projector calibration method by projecting grating fringes and the calibration accuracy and the calibration efficiency can be improved.