Abstract: Demonstrated in this paper is the application of the space-time concept to the analysis of pedestrians and vehicles interactions competing for the same road space. It is intended to show how this approach can address situations and problems not adequately handled by the use of other methods. The purpose of this paper is to introduce concepts of space-time applied to road traffic and to examine the interaction between pedestrian crossers and vehicle users competing for the same road space. To study the interaction some indices have been developed using the concept of space/time occupancy. The correlation and multivariate analysis was used to explain the interaction between pedestrians/vehicles competing for the same road space. The results of the statistical analysis reveal that the space-time (ST) associated with pedestrian crossings uncontrolled mid-block shopping streets are influenced by both the vehicle volume (Q) and average vehicle speed (?). STc decreases with increasing in ? and Q. The paper concludes that the model has shown the importance of road frontage activities as a constraint on the quality of traffic service provided by urban arterials. Furthermore, the space-time index (STc) models that developed can offer a starting point for the systematic evaluation of the consequences of development and management of road space.