The present invention discloses a heat-actuated double-acting traveling-wave thermoacoustic refrigeration system, comprising at least three elementary units; each elementary unit comprises a thermoacoustic engine, a thermoacoustic refrigerator, and a resonance device; the thermoacoustic engine and the thermoacoustic refrigerator comprise a main heat exchanger, a heat regenerator, a non-normal-temperature heat exchanger, a thermal buffer tube, and an auxiliary heat exchanger connected in sequence; the resonance device comprises a sealed housing, a moving part is provided in the housing for a reciprocating motion; the moving part separates the housing into at least two chambers; the main heat exchanger and auxiliary heat exchanger of each thermoacoustic engine and thermoacoustic refrigerator respectively connects to chambers of different housing, forming dual-loop structure of gas medium flow. In heating the non-normal-temperature heat exchanger of the thermoacoustic engine to produce acoustic power, thermoacoustic energy conversion is induced inside the thermoacoustic engine and the thermoacoustic refrigerator.