Rolling machine with hydraulic actuation, which comprises: - a support structure; - two or more forming rollers provided with a shaped profile; - motor means associated with said support structure, mechanically connected to said forming rollers in order to drive them in rotation around the rotation axis thereof on a cylindrical body available along a central work axis of said machine; - two or more hydraulic actuators mechanically associated with said support structure, each of which supporting a corresponding said forming roller in order to move it along a respective first transverse axis perpendicular to said work axis by means of: o at least one first approaching/moving away travel, in which said forming roller is moved from a distal position with respect to said central work axis to a position proximal to said central work axis; o at least one second work travel, in which said forming roller operates in compression on said cylindrical body to be formed in order to plastically deform it according to its shaped profile; - a hydraulic system connected to said hydraulic actuators in order to drive them to be moved along their said first and second travel; characterized in that said hydraulic system comprises: - at least one first accumulator hydraulically connected to said hydraulic actuators by means of at least one first supply duct in order to supply them with a first flow having a first operative pressure and susceptible of moving them along said first approaching/moving away travel; - at least one second accumulator hydraulically connected to said hydraulic actuators by means of at least one second supply duct in order to supply them with a second flow less than the first flow, having a second operative pressure greater than the first operative pressure, and susceptible of moving them in order to move them along said second work travel. - a support structure; - two or more forming rollers provided with a shaped profile; - motor means associated with said support structure, mechanically connected to said forming rollers in order to drive them in rotation around the rotation axis thereof on a cylindrical body available along a central work axis of said machine; - two or more hydraulic actuators mechanically associated with said support structure, each of which supporting a corresponding said forming roller in order to move it along a respective first transverse axis perpendicular to said work axis by means of: o at least one first approaching/moving away travel, in which said forming roller is moved from a distal position with respect to said central work axis to a position proximal to said central work axis; o at least one second work travel, in which said forming roller operates in compression on said cylindrical body to be formed in order to plastically deform it according to its shaped profile; o at least one first approaching/moving away travel, in which said forming roller is moved from a distal position with respect to said central work axis to a position proximal to said central work axis; o at least one second work travel, in which said forming roller operates in compression on said cylindrical body to be formed in order to plastically deform it according to its shaped profile; - a hydraulic system connected to said hydraulic actuators in order to drive them to be moved along their said first and second travel; - at least one first accumulator hydraulically connected to said hydraulic actuators by means of at least one first supply duct in order to supply them with a first flow having a first operative pressure and susceptible of moving them along said first approaching/moving away travel; - at least one second accumulator hydraulically connected to said hydraulic actuators by means of at least one second supply duct in order to supply them with a second flow less than the first flow, having a second operative pressure greater than the first operative pressure, and susceptible of moving them in order to move them along said second work travel.