The present invention provides a tire assembling/disassembling machine, particularly for industrial vehicle wheels, having a support frame (2) delimiting a foreheadt, a back and two sides, a rigid support framework (13) articulated at the back of the support frame (2) according to an articulation axis (12), driving means (15) for angularly lifting/lowering said rigid support framework (13) with respect to said support frame, a self-centering assembly (14) overhangingly carried by said rigid support framework (13) at the foreheadof said support frame (2), whereby its axis of rotation is substantially normal to said articulation axis (12), and bead-releasing means carried by said rigid support framework. The tire assembling/disassembling machine further comprises a pair of side bead-releasing assemblies (34, 42), supported by said rigid support, framework (13) and each located on the opposite side with respect to said self-centering assembly (14), driving means (25, 26) for each bead releasing assembly (34, 42) designed to move its respective bead-releasing assembly (34 or 42) between a rest position and a working position in a substantially normal direction with respect to said articulation axis, and a fitting tool (47) overhangingly supported by one of said bead-releasing assemblies (42), thereby being angularly displaceable with respect thereto and to said self-centering assembly (14).