Local motion of object in MR imaging usually leads to a motion artifact which is spread in phase coding direction. Subsequently, the spreading artifact results in the degradation of signal intensities even though static parts. A ghost artifact and a zipper-like artifact are examples for the object motion and flow effect. In this paper, a new local motion suppression technique is proposed where signal affected by the motion is localized using a short time Fourier transform or a windowed Fourier transform. Further, an MR pulse sequence for the windowed Fourier transform was developed and applied to object having local motions thereby showing local motion suppression. The computer simulations of the proposed method and their corresponding experimental results are reported.