Road milling machine for working road or ground surfaces, - with a machine frame supported by a chassis with one front axle and one rear axle (6, 7) with wheels (10, 12, 14, 16) or crawler tracks, - with a milling drum mounted at the machine frame to rotate between the rear wheels (14, 16) or crawler tracks, where said milling drum, with one front end, ends nearly flush with a lateral outer side of the machine frame, the so-called zero-clearance side, in order to enable milling as close along any obstacles as possible, - where, as a minimum, the wheels (14, 16) or crawler tracks of the rear axle comprise wheel brackets with lifting columns which are adjustable in height relative to the machine frame for the purpose of adjusting the milling depth, - where, as a minimum, the wheels (10, 12) or crawler tracks of the front axle comprise wheel brackets with pivoting columns which are steerable about a pivoting axis by means of steering levers, - where the steering levers of the wheels (10, 12) or crawler tracks of the front axle are coupled to one another in an articulated fashion via a rigid connecting part for synchronous adjustment of the steering angles, and - where, as a minimum, one steering cylinder directly or indirectly articulated at a fixed point relative to the machine frame and directly or indirectly coupled with, as a minimum, one wheel bracket adjusts the steering angle of the wheels (10, 12) or crawler tracks, characterized in that the connecting part forms a steering tie rod together with an arm projecting from the connecting part, where the arm of said steering tie rod extends between the pivoting columns away from the connecting part and is coupled at its free end to at least one steering cylinder, with the connecting part and the steering cylinder being arranged on opposite sides, as seen in the direction of travel, relative to the connecting line of the pivoting axes. - with a machine frame supported by a chassis with one front axle and one rear axle (6, 7) with wheels (10, 12, 14, 16) or crawler tracks, - with a milling drum mounted at the machine frame to rotate between the rear wheels (14, 16) or crawler tracks, where said milling drum, with one front end, ends nearly flush with a lateral outer side of the machine frame, the so-called zero-clearance side, in order to enable milling as close along any obstacles as possible, - where, as a minimum, the wheels (14, 16) or crawler tracks of the rear axle comprise wheel brackets with lifting columns which are adjustable in height relative to the machine frame for the purpose of adjusting the milling depth, - where, as a minimum, the wheels (10, 12) or crawler tracks of the front axle comprise wheel brackets with pivoting columns which are steerable about a pivoting axis by means of steering levers, - where the steering levers of the wheels (10, 12) or crawler tracks of the front axle are coupled to one another in an articulated fashion via a rigid connecting part for synchronous adjustment of the steering angles, and - where, as a minimum, one steering cylinder directly or indirectly articulated at a fixed point relative to the machine frame and directly or indirectly coupled with, as a minimum, one wheel bracket adjusts the steering angle of the wheels (10, 12) or crawler tracks,