To provide a method for the inexpensive manufacture of a deposition burner with small manufacturing tolerances for use in the synthesis of quartz glass, and wherein moreover, when the deposition burner is used as intended, the risk of contamination of the quartz glass to be produced is low, the invention suggests the following method steps: (a) providing a start cylinder of quartz glass (40) which is mechanically provided with longitudinal bores (46, 47); (b) elongating the start cylinder with formation of a burner strand (42), the longitudinal bores being shaped as elongated channels extending in parallel with one another; (c) cutting the burner strand into pieces in the form of cylindrical quartz glass blocks (43), each being provided with passage lines extending in parallel with a central axis of the quartz glass block; and (d) manufacturing the deposition burner by using a respective one of such quartz glass blocks as burner head which has a proximal end and a distal end, the passage lines serving the supply of process media from the distal to the proximal, burner head end.