The invention relates to an exoskeleton for assisting human movement, which can be fitted to the user in terms of dimensions, tension and ranges of joint motion, either manually or automatically. The exoskeleton can be fitted to the user in the anteroposterior direction in the sagittal plane, with the user in a horizontal or sitting position, without requiring a functional transfer. The exoskeleton has a modular design which is compatible with human biomechanics and reproduces a natural and physiological movement in the user, with up to 7 actuated and controlled degrees of movement per limb, ensuring that the user maintains equilibrium during locomotion.