The invention provides a concrete construction method for a curved roof, the concrete construction method for the curved roof comprises the following steps of a, installing a slide rail; b, assembling and installing a steel framework; c, adjusting the radian of the steel framework; d, installing a framework moving mechanism on the steel framework; e, installing a plate vibrator on an assembled steel framework; f, checking the framework moving mechanism; g, pouring concrete on roof after finishing the framework moving mechanism; h, lifting the steel framework integrally to the next pouring area through a tower crane, and repeating steps F and G for concrete pouring until the entire roof is poured; and removing the steel framework after the entire roof is poured and the concrete reaches certain strength. The concrete construction method of the curved roof solves the problems of forming difficulty in concrete pouring of the curved roof, the construction quality and curve surface accuracy of curved roof concrete slabs are improved, and it is effectively guaranteed that the design thickness of the curved roof concrete and the compactness of the concrete meet the design requirements.