The present invention relates to a burner for a combustion chamber of a gas turbine plant, with an injection device for introducing gaseous fuel into the burner. The injection device has a body which is arranged in the burner and which has at least one nozzle for introducing gaseous fuel into the burner. The body is configured as a streamlined body which has a streamlined cross-sectional profile and which extends with a longitudinal direction transversely with respect to a main flow direction prevailing in the burner. The at least one nozzle has its outlet orifice at an trailing edge of the streamlined body.