The present invention relates to a composite low-NOx burner for reducing the generation amount of NOx, by implementing a gas staging combustion technique and an internal flue gas recirculation (IFGR) combustion technique in a single burner. According to the present invention, the composite low-NOx burner provided in a burner mounting hole of a combustion chamber comprises: a tube inserted into the burner mounting hole such that the front end thereof is exposed to the combustion chamber, and guiding air to the combustion chamber; and at least one fuel spud provided at the end portion of the tube, having a pipe shape for forming split flames by means of injection of fuel into the combustion chamber, and having a first gas inlet, formed in a partial region of the outer periphery thereof, for allowing combustion gas to flow therethrough, wherein a second gas inlet for allowing the combustion gas mixed in the air inside the tube to flow therethrough is formed on the outer periphery of the tube at the rear of the first gas inlet in the outward direction of the combustion chamber. According to the present invention, the burner according to an improved IFGR technique which enables effective self-recirculation of the combustion gas is merged with a gas staging technique so as to enable the generation amount of NOx to be further lowered than that of a low-NOx burner to which an existing IFGR technique is applied.