Process for the production of paper rolls, including a step of producing logs (L) of paper material by winding a predetermined amount of paper web (W) about a respective longitudinal axis, a step of transverse cutting of the logs (L) to obtain rolls (RO) of predetermined length, and an intermediate step of transporting the logs (L) from a rewinder (R) that produces the logs (L) toward a cutting-off machine (CM) that cuts them transversely. The intermediate transporting step involves the handling of the logs (L) along a path comprising a lateral deviation, so that, as they advance, the logs (L) are subjected to the lateral deviation.