Rolling machine with hydraulic actuation, which comprises two or more forming rollers (6), mechanically associated with the support structure (2) and adapted to plastically deform a cylindrical body arranged along a central work axis (A) of the machine (1). Each forming roller (6) is provided with a shaped profile and is driven to rotate around its rotation axis (Z) by a brushless motor (16) and is driven to be moved along a respective first transverse axis (R) perpendicular to the work axis (A) by a corresponding hydraulic actuator (15). A pressurized oil hydraulic system (100) is provided that is associated with the machine, which comprises an oil storage tank (200), a circulation pump (101) connected to the storage tank (200), at least two accumulators (106, 107) connected to the hydraulic actuators (15), each which having at the outlet an interception valve (108, 109) for directing the pressurized oil flow towards the hydraulic actuators (15) in order to allow their movement along the transverse axis R an
