A cutting or sawing machine (1) comprising a machine body (3), at least one disc shaped, rotatable tool (16a, 16b), an elongated tool carrier (14) having the substantial shape of a flat bar having a front end and a rear end, two opposite broad sides and two opposite edge sides, said rear end being connected to the machine body. The tool carrier comprises at least two elongated side walls (24, 25), a first elongated side wall (24) on one broad side of the tool carrier, a second elongated side wall (25) on the opposite broad side, said first and second side walls being essentially parallel with each other, and the front part of either one of the side walls or of a possible central elongated member (25) between the first and second side walls is provided with a bearing hole (28a) intended to carry a bearing of sliding contact type or of rolling contact type, i.e. a rolling bearing, and the two side walls and the possible central member being connected to each other at a plurality of sites, and each side wall (24, 25) has a length adapted to essentially cover at least the gap between the machine body (3) and the perimeter of its associated disc shaped tool (16a, 16b), i.e. the tool located on the same side of the tool carrier, so that from each broad side the side wall (24, 25) and the associated disc shaped tool together cover the power transmission to increase safety and reliability.