Abstract: The invention relates to a taper rolling machine which is designed such that the stock may follow a constant pass line throughout the whole of the taper rolling operation.In particular the taper rolling apparatus comprises a pair of idler rolls (7 and 8) and a carriage (2) for gripping the stock (12) and drawing it through the rolls in a multiplicity of passes whilst the roll gap is controlled to impart the taper, this roll gap being adjusted by movement of only one (8) of the idler rolls. The invention is manifested by the carriage (2) being pivotally mounted at 6 and resiliently supported at its forward end by pneumatic, hydraulic or mechanical spring means--this enables the carriage to move in such a fashion as to maintain the stock at a level by which a constant pass line is secured.