Pedestrian’s crossing speed and time are of prime importance in studying the operation and design of signalized crosswalks. Existing methodologies do not consider the effects of bi-directional flow or crosswalk geometry on crossing speed and the resultant crossing time. In this study a new methodology is proposed for modeling the total time necessary for a platoon of pedestrians to cross a signalized crosswalk, considering the effects of bi-directional flow and crosswalk geometry. The fundamental relationships between speed, flow and density of bi-directional pedestrian flow are presented. An evaluation for the lane-like segregation policy for pedestrian crossing is included. The final formulation of crossing time Tc provides a rational quantification for the effects of crosswalk geometry and bi-directional pedestrian flow on crossing time and speed.