A main component of cement is cement clinker, which is produced from a mixture of raw materials containing calcium oxide, silicon dioxide, aluminium oxide and iron oxide by means of mixing, grinding and burning. According to the invention, the mixture of raw materials consists of a calcareous component and converter slag, the converter slag being added in a proportion of up to 30% by weight. Natural resources of raw materials can hereby be preserved and the carbon dioxide output during burning of the cement clinker can be reduced.