A process for the production of electrical steel strips, in which a strip is directly cast from molten steel and contains alloy elements apt to generate a precipitation of sulphides and/or nitrides apt to inhibit the grain growth. The strip is hot rolled in-line with the casting operation at a temperature between 1250 and 1000.degree. C., and in which the strip is coiled after hot rolling at a temperature of less than 780.degree. C. if sulphides are utilized, or at a temperature of less than 600.degree. C. if nitrides, or nitrides plus sulphides, are utilized.