The invention relates to a printing and dyeing sludge drying method and an apparatus thereof. The gas phase outlet of a disc drying machine is connected with the feeding opening of the disc drying machine through a deduster, a Venturi deduster, a cooler, a heat exchanger and a circulating fan sequentially to make stink-containing high-humidity tail gas evaporated from the disc drying machine dedusted, dehumidified, cooled, heated and reused as a heat carrying gas of the disc drying machine; the gas phase outlet of the disc drying machine is connected with the Venturi deduster and a sewage pipeline through the deduster, the Venturi deduster, the cooler and a washing pump to make stink-containing high-humidity tail gas evaporated from the disc drying machine dedusted, dehumidified and cooled, and most water steam in the stink-containing high-humidity tail gas is condensed and then is used to circularly spray the stink-containing high-humidity tail gas as washing water; and the heat transfer medium outlet of the disc drying machine is connected with the heat transfer medium inlet of the heat exchanger through a recovery tank and a condensate liquid pump to make heat of a heat transfer medium fully used. The method and the apparatus have the advantages of small discharge amount of waste gas and wastewater, and energy saving.