Solid state laser with high energy and high power laser output by combining several low energy and low power beams overcomes the limitation of crystal material volume, thermal effect and the repetition rate, which has made rapid development in recent years. As, based on stimulated Brillouin scattering (SBS), which is one of the most important research directions in this field, laser beam combination method has received extensive attention of scholars all around the world. Present studies on the serial laser beam combination based on stimulated Brillouin amplification are reviewed. Characteristics of collinear and non- collinear methods and SBS laser beam combination problems are analyzed, and the development direction is prospected.