The quality of brazed stainless steel joints depends on the selection of the brazing process, process temperature, filler metal, and the type of protective atmosphere or flux. This article provides a detailed discussion on the applicability and brazeability of stainless steel and lays an emphasis on the selection of suitable filler metal, brazing processes, and its corresponding furnace atmosphere for brazing different grades of stainless steel. The types of brazing processes include torch brazing, furnace brazing in different atmospheres (dissociated ammonia, dry hydrogen, and vacuum atmosphere), dip brazing in salt bath, and high-energy-beam brazing. A complete list of the typical compositions and properties of standard brazing filler metals for brazing stainless steel is also provided.