Stroboscopic shearing speckle interferometrya method for investigation of vibrations is proposed. While the shearing lens is used, the speckle shearing picture is performed, to improve the precision of measuring. The fundamental principle of stroboscopic shearing speckle interferometry is discussed. For a specklegram of stroboscopic shearing in whole field analysis, the analytic formula of the distribution of the mean intensity of light and experimental result are given. Both theory and experiments show that stroboscopic shearing speckle interferometry is obviously superior to time-average method. In the whole field filtering, the information of vibration at any moment can be easily obtained ,and images obtained are quite clear.