The spatial coherence of filaments in edge-emitting broad-area semiconductor lasers is researched based on speckle theory, and a passive speckle suppression method for broad-area semiconductor lasers is demonstrated. A Fly-eye lens is used to integrate the filaments and homogenize the laser beam. Speckle contrast is consistent with theoretical calculation, which proves the spatial incoherence of filaments. A light pipe is used to introduce optical path difference between light with different incident angles, enabling more incoherent beamlets. These beamlets are then combined at different illuminating angles by a double-sided fly-eye lens and focusing lens. As a result, the subjective speckle contrast is reduced from 95.94% to 19.13% at 1.2A, while maintaining a high luminous efficiency of 77.8%. This work provides important design principles for laser display systems.