This paper proposes a novel calibration method for the monocular laser speckle projection system. By capturing images of a calibration board with speckles under different poses, projector's optical axis is fitted and utilized to calibrate the rotation between the camera and projector. The translation is solved in closed form subsequently and projector's virtual image is recovered via homography. After calibration, the system can be regarded and operated as a binocular stereo vision system with speckle pattern. The proposed method is efficient and convenient, without need of reference image or high-precision auxiliary equipment. Validated by experiments on Astra-s and Astra-pro, it presents significant improvement in depth-estimation compared to the traditional method.