A roll straightening machine for straightening an elongated string member includes at least one first straightening roll rotatably mounted around a first rotation axis, and at least one second straightening roll rotatably mounted around a second rotation axis. The first and second rotation axis and rolls are oblique with respect to a longitudinal axis of an elongated string member to be received in the roll straightening machine, and also oblique with respect to one another. In order to provide a roll straightening machine that can be set up flexibly for different requirement profiles, the first rotation axis is mounted on a first holding device and the second rotation axis is mounted on a second holding device. The first and the second holding devices are supported by a frame in a removable manner, which is arranged to receive a variable number of holding devices having the straightening rolls.