A continuous casting method of a cast slab in which temperature measuring elements are arranged in each of opposedly facing copper plates on wide face of mold of a mold for continuous casting and in which a steel cast slab is continuously cast while temperatures of the copper plates on wide face of mold are measured by using the temperature measuring elements, wherein the temperature measuring elements are arranged such that temperature measurement points of the temperature measuring elements are positioned between a molten steel side surface and a cooling-water slit of the copper plates on wide face of mold and such that the temperature measurement points are spaced apart from the molten steel side surface of the copper plates on wide face of mold by the same distance in a thickness direction of the copper plates, wherein the temperature measurement points are arranged in a grid-like pattern in a region from a meniscus of a molten steel to a level 600 mm or more below the meniscus of a molten steel in a slab withdrawal direction at a pitch of 100 mm or smaller in the slab withdrawal direction and at a pitch of 150 mm or smaller in a width direction of the copper plates on wide face of mold, wherein values measured by the temperature measuring elements arranged closer to a center in a width direction of the cast slab than short sides of the cast slab under the continuous casting at levels of 50 mm or more lower in the slab withdrawal direction than the meniscus of the molten steel in the mold are selected as evaluation targets for the temperatures of the copper plates on wide face of mold, and wherein a standard deviation of the values measured over the width direction of the copper plates on wide face of mold at a same level in the slab withdrawal direction is controlled to be 20°C or lower by adjusting one, or two or more of three conditions that are the slab withdrawal rate, a magnetic flux density applied to the molten steel in the mold by an electromagnetic-field generating device, and a submergence depth of a submerged entry nozzle. wherein the temperature measuring elements are arranged such that temperature measurement points of the temperature measuring elements are positioned between a molten steel side surface and a cooling-water slit of the copper plates on wide face of mold and such that the temperature measurement points are spaced apart from the molten steel side surface of the copper plates on wide face of mold by the same distance in a thickness direction of the copper plates, wherein the temperature measurement points are arranged in a grid-like pattern in a region from a meniscus of a molten steel to a level 600 mm or more below the meniscus of a molten steel in a slab withdrawal direction at a pitch of 100 mm or smaller in the slab withdrawal direction and at a pitch of 150 mm or smaller in a width direction of the copper plates on wide face of mold, wherein values measured by the temperature measuring elements arranged closer to a center in a width direction of the cast slab than short sides of the cast slab under the continuous casting at levels of 50 mm or more lower in the slab withdrawal direction than the meniscus of the molten steel in the mold are selected as evaluation targets for the temperatures of the copper plates on wide face of mold, and wherein a standard deviation of the values measured over the width direction of the copper plates on wide face of mold at a same level in the slab withdrawal direction is controlled to be 20°C or lower by adjusting one, or two or more of three conditions that are the slab withdrawal rate, a magnetic flux density applied to the molten steel in the mold by an electromagnetic-field generating device, and a submergence depth of a submerged entry nozzle.