The invention discloses a construction method of a crack-resisting cement stabilized crushed stone base course. The problems that at present, contraction fissures of a traditional cement stabilized crushed stone are many, the surface is prone to loosening after freeze-thaw, the defects of the construction mode exist in the construction side, and therefore large-area cracks and freeze-thaw are generated in the subsequent process of the road surface are solved. According to the key points of the technical scheme, the construction method comprises the following steps that (a), the crack-resisting cement stabilized crushed stone base course comprises a collected material, 3%-5% of cement and water, the curve of the screen hole size of the collected material and the passing percentage is in an S shape; (b), a mixture is mixed; (c), the mixture is conveyed; (d), the mixture is paved, specifically, square timber cushion blocks are put under a paver screed plate in advance, and mixture paving adopts two pavers to synchronously operate in an echelon formation mode; (e), the mixture is grinded; and (f), curing is conducted, specifically, a curing film or geotechnical cloth is covered to conduct hydrating curing, so that the surface of the cement stabilized course keeps a moist state all the time, and the cement stabilized crushed stone base course with the crack-resisting property being obviously improved is obtained.