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 by means of hydraulic cylinders 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, 14, 16) 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 wheels (10, 12) or crawler tracks of the front axle as seen in the direction of travel are arranged offset from one another in such a fashion that the wheel (10, 12) or crawler track located on the inside relative to the steering direction, or the wheel or crawler track located on the zero-clearance side is arranged in front of the neighbouring wheel or crawler track as seen in the direction of travel. - 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 by means of hydraulic cylinders 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, 14, 16) 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,