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Abstract. The article deals with one of the ways of profile geometry design of a railway wheel and rail. The base for the creation of a new profile is an interactive attitude based on the modification of „the original shape which is defined by section of a railway wheel profile“, with to each other connected and exactly defined arcs radii. It is possible to change them according to shape needs of the final geometrical characteristics. Problems of the railway wheel /rail contact represents a basic point of any analysis which is connected with the moment of a railway vehicle on a track, with safety, speed, with comfort of people and goods transport. It is connected with the construction of new railway vehicles, with the reconstruction the old ones, with the approval (refusal) of vehicles into operation, with their evaluation as well as with the evaluation of track quality and their maintenance. It has a direct influence on the position of rail transport in the frame of the whole transport system, on economics, ecology and so on.

Keywords: geometric characteristics, wheel and rail contact point detection, wheel tread profile definition, rail head profile specification, new profile creation method