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The content of this article is a paper about a complex mathematical model of terrain passability which respects geographical and meteorological conditions in terrain and about its adaptation for calculation in the environment of geo-information systems (GIS). The model of terrain passability is based on measurable factors that characterize the natural environment, which is possible to calculate from the data saved in GIS databases. When calculating parameters for a complex model, it is necessary to consider data quality which influences the level of vagueness of the resulting calculations. To express this level of vagueness, a method of fuzzy functions was chosen and then it was applied when calculating the individual deceleration coefficients given by the natural factors. The method of cost map was chosen for the final evaluation of possibilities of vehicles movement. The complete procedure was debugged in the environment of ArcGIS 10.