The invention discloses low-alkali expansive moderate heat silicate cement and a production method thereof, and belongs to the field of cement. The invention provides the low-alkali expansive moderate heat silicate cement. A calcareous raw material, a clayey raw material, a magnesium raw material, aluminum ore barren rock and copper slag are taken as raw materials, and are subjected to raw material milling, clinker calcination and cement milling to form the low-alkali expansive moderate heat silicate cement. The low-alkali expansive moderate heat silicate cement is prepared by the following raw materials in percentage by weight: 67 to 80 percent of calcareous raw material, 8 to 15 percent of clayey raw material, 7 to 13 percent of magnesium raw material, 0.5 to 5 percent of aluminum ore barren rock and 4 to 9 percent of copper slag. The moderate heat silicate cement has the alkali content of less than or equal to 0.50 percent, the 3-day heat of hydration of less than or equal to 231kJ/kg and the 7-day heat of hydration of less than or equal to 273kJ/kg. The industrial waste slag of copper slag is used as an iron corrective raw material, and the aluminum ore barren rock is used as an aluminum corrective raw material, so that the pollution of solid waste gas on the environment is avoided, the waste is changed into treasure, and the performance of the moderate heat cement is improved.