Abstract: A process and apparatus are provided for suppressing flame and pressure pulsations in a furnace which has a burner for generating a flame and a combustion chamber into which the flame is directed. Usually, pressure pulsations can occur in such furnaces, which are induced and amplified by ring vortices rolling up on the outer or peripheral regions of the flame and or fuel/air stream. In order to prevent these ring vortices, it is proposed to surround the flame with an envelope of gas which has a higher flow velocity in the direction of the flame than the peripheral region of the flame or the fuel gas/air flow of the burner, whereby a boundary layer acceleration results, and the vortex formation can no longer take place. The furnace burner is provided with one or more gas discharge openings closely surrounding the burner outlet in order to create the gas envelope.