Provided is a gasifier cooling structure allowing the complexity of the furnace wall structure to be reduced to a minimum, allowing the configurability of headers and connecting pipes to be improved while maintaining as much as possible the ability to cool raw syngas. In the gasifier cooling structure, the raw syngas from a gasified carbonaceous solid fuel flows through the interior of a furnace wall formed inside a pressure vessel having a circular cross section, and the raw syngas is cooled by heat exchange with a fluid flowing inside a heat exchanger tube from a heat exchanger, whereof a plurality is provided within the furnace wall. The furnace wall has a polygonal structure wherein mutually orthogonal faces are linked by an oblique face in between, and whereof the cross sectional shape is such that the edge of the oblique face is shorter than the edges of the mutually orthogonal faces.