This paper proposes a geometric correction method for projected images using SIFT feature points. A projected image correction method based on projector-camera system needs to obtain the correspondence between projector and camera images, which is obtained by projecting the special patterns on a screen. The special patterns must be re-projected when changing the environment, e.g., the projecto or screen is moved. On the other hand, this paper proposes a geometric correction method using SIFT feature points on a projecte image which does not employ any special patterns to obtain the correspondence between projector and camera images. Experimental result shows that the use of our proposed method make it possible to correct distortion of projected images with only one snapshot.