The invention is based on a gas-turbine burner (2, 44) having a plurality of main swirl generators (10) which each have an inlet-flow opening (28) formed by a main swirl generator edge (30). In order to achieve a uniform flow of combustion air through the main swirl generator (10), it is proposed that the gas-turbine burner (2, 44) have an inlet-flow guide means (36, 38, 46) with a flow guide surface (40, 48) which runs from one of the inlet-flow openings (28) to an adjacent inlet-flow opening (28), to which the main swirl generator edges (30) which form the inlet-flow openings (28) are connected and widens from there radially upwards.