The invention discloses a low-temperature spiral wound heat exchanger for a non-converted gas cooler, and is mainly applied to the coal chemical industry fields of coal based syngas, coal-to-methanol, and the like, and the technical fields of the rectisol process comprising low-temperature gas purification and low-temperature liquefaction separation, and the like. The low-temperature spiral wound heat exchanger is tower spiral wound heat exchange equipment with the combination of single-fluid and double-fluid, achieving the purpose of precooling non-converted feed gas by process cold gas by mainly utilizing rectisol process off-gas and low-temperature syngas to precool the non-converted feed gas. According to the low-temperature spiral wound heat exchanger for the non-converted gas cooler, disclosed by the invention, the basic structure and the heat exchange process calculation method of a compound spiral wound heat exchanger combining a single-tube-bundle spiral wound heat exchanger and a double-tube-bundle spiral wound heat exchanger for the non-converted gas cooler are systematically researched, the method of introducing the moderate temperature cold source at the middle section and combining the single-fluid and double-fluid spiral wound heat exchangers up and down is adopted, and the entry points of multi-fluid heat exchange at different potential temperatures are improved, so that the heat exchange efficiency is enhanced, the heat exchange area is saved, and the size of the heat exchanger is reduced.