A process for producing a hollow monoblock shaft from a pipe, the pipe initially having a constant diameter and a constant wall thickness, and the monoblock component including at least one area of its length being of a smaller outside diameter and a greater wall thickness than the constant diameter and constant wall thickness of the pipe. The process can be carried out simply and economically by the following process steps:selecting a pipe with a wall thickness which corresponds to the smallest wall thickness of the finished component,partial heating of at least one area of the pipe,axial upsetting the heated area of the pipe andradial forging the heated area of the pipe.