A wheel rim for motor-vehicles comprising: - a peripheral structure that extends circumferentially around a predefined first axis, said peripheral structure being arranged to receive a tire; and - a central structure, internally integral with said peripheral structure and provided with means for coupling, along said first axis, with a hub of the motor-vehicle, wherein said peripheral structure comprises an axially inner portion, an axially outer portion and a central portion, interposed between said axially inner portion and said axially outer portion, wherein said central portion comprises a circumferential well, where the radius of the wheel rim is minimum, and wherein each of said axially inner portion and said axially outer portion comprises in sequence: - a respective peripheral flange (22, 24); - a connecting wall (26, 28), which joins a respective peripheral flange (22, 24) and extends axially towards said central portion, wherein each connecting wall (26, 28) is substantially frustoconical and has a first axial end (30, 32) with greater radius, which is joined to a respective peripheral flange (22, 24), and a second axial end (34, 36) with lesser radius, which faces said central portion, and wherein each connecting wall (26, 28), together with the respective peripheral flange (22, 24), forms a seat for receiving the bead of said tire; - a connecting part (38, 40), which is interposed between a respective connecting wall (26, 28) and said central portion, wherein the connecting part (38, 40) of at least one of said axially inner portion and said axially outer portion comprises a first curved region (42, 44) which connects with said central portion, wherein the connecting part (38, 40) which comprises said first curved region (42, 44) further comprises a second curved region (46, 48) which is interposed between said first curved region (42, 44) and the second axial end (34, 36) with lesser radius of the respective connecting wall (26, 28), said second curved region (46, 48) consisting of a convex profile when seen from the side of the wheel rim on which said tire is fitted, said second curved region (46, 48) comprising: - a first curved surface, which is joined to the second axial end (34, 36) with lesser radius of the respective connecting wall (26, 28) and which has a first radius of curvature; the rim being characterized in that said second curved region further comprises a second curved surface, which is interposed between said first curved surface and said first curved region (42, 44) and which has a second radius of curvature different from said first radius of curvature. - a peripheral structure that extends circumferentially around a predefined first axis, said peripheral structure being arranged to receive a tire; and - a central structure, internally integral with said peripheral structure and provided with means for coupling, along said first axis, with a hub of the motor-vehicle, - a respective peripheral flange (22, 24); - a connecting wall (26, 28), which joins a respective peripheral flange (22, 24) and extends axially towards said central portion, wherein each connecting wall (26, 28) is substantially frustoconical and has a first axial end (30, 32) with greater radius, which is joined to a respective peripheral flange (22, 24), and a second axial end (34, 36) with lesser radius, which faces said central portion, and wherein each connecting wall (26, 28), together with the respective peripheral flange (22, 24), forms a seat for receiving the bead of said tire; - a connecting part (38, 40), which is interposed between a respective connecting wall (26, 28) and said central portion, - a first curved surface, which is joined to the second axial end (34, 36) with lesser radius of the respective connecting wall (26, 28) and which has a first radius of curvature; the rim being characterized in that said second curved region further comprises a second curved surface, which is interposed between said first curved surface and said first curved region (42, 44) and which has a second radius of curvature different from said first radius of curvature.