Laser speckles occur not only in the images reconstructed from a hologram but also in many coherent images. The presence of speckles, a random granular appearance in images resulting from the interference of the coherent waves scattered from a rough object, degrades the image quality and leaves fine details irresolvable. In the paper, we first review the formation, the statistical model, relative applications, and conventional reduction methods of speckle. They are followed by the technical details of the measurement of speckle. We then present the application of diffractive optical elements to reduce the image speckles recently developed. Finally, we show the use of negatively correlated speckled images for speckle suppression. The method is implemented using a spatial light modulator which replaces the dynamical diffuser and is able to achieve high suppression ratio.