A process of production of three-dimensional products from wire (1) or other suitable material, which process may be implemented in a system (8) that may include an advancement mechanism (9), a straightening mechanism (11), a length measuring arrangement (18) towards which advances the material (1), a gripper arrangement (14) suitable to hold the material with fixed grippers (15) and simultaneously with other grippers (16) to twist it to a desired angle around its longitudinal axis (X), and a rotatable bending mechanism (12) that can bend the material plastically in one plane and simultaneously can rotate at a desired angle around the longitudinal axis (X) of the wire (1) so that it may generate bends in different planes. The system (8) implementing the process may also carry a cutting arrangement (13). The process of production of three-dimensional products affords the ability of choosing and energizing within the same product shape either the gripper arrangement (14) or the bending mechanism (12) thus providing the flexibility of bettering the times of production of various three-dimensional shapes.