The invention relates to a method for manufacturing a sulfoaluminous or belitic sulfoaluminous clinker from a raw mix formed from a mixture including minerals containing calcium, aluminum, silica, iron, and sulfur, preferably in sulfate form, and is characterized in that the method comprises the steps including: at least partially dehydrating and decarbonating the mixture through placement in a vertical kiln (1) comprising a substantially vertical chamber (2) wherein the mixture is heated, the chamber (2) of the vertical kiln (1) being supplied with hot gases the temperature of which is between 900 and 1150° C.; extracting the dehydrated and decarbonated mixture from the vertical kiln (1) and conveying the same in a continuous kiln (4) comprising a furnace (5) and a transporting means (6) for transporting the mixture across the furnace (5); heating the mixture from the vertical kiln (1) by passing the mixture through the furnace (5) via the transporting means (6) such that a clinkerization of the mixture is obtained, the average passage time in the furnace being greater than 15 minutes.