Abstract: A modular oscillating head, particularly for stretching and softening industrial hides and similar products, comprising flexible mats (31, 32) for the continuous longitudinal advancement of the hides between at least one pair of plates with facing tools upon which actuation means act for producing their relative oscillation along a working plane (n) substantially perpendicular to that of the advancement. Two moving plates (7, 8) are provided anchored to respective beating bodies (3, 4) positioned on opposite sides with respect to a fixed supporting structure (2) along the working plane (.pi.). The beating bodies (3, 4) are provided with a symmetrical oscillating movement with respect to the central structure in the working plane (.pi.).