Method of rolling and cutting endless hot-rolled steel strip

In a rolling and cutting method for an endless hot-rolled steel strip comprising continuous hot rolling and joining rough-rolled slabs to each other with a joint having a boundary between slabs, subjecting the joined rough-rolled strip continuously to hot finish rolling to obtain an endless hot-rolled steel strip with a joint having a boundary between strips, cutting the endless hot-rolled steel strip immediately before coiling, and coiling each cut strip into a coil, the endless hot-rolled steel strip being cut such that the boundary between two successive slabs or sheets is positioned on the radially outermost face of the coil; the target cut point is set relative to the boundary by applying the tracking error of the boundary and the cutting control error for ensuring that the target cut point is accurately positioned on the radially outermost surface of the coil; the strip is kept from breaking at the boundary when coiled, and the coil as a final product can be produced with minimum scrap.