Abstract: The invention concerns a method for facilitating the movements of a set of (Ep) of pedestrians (P) each with a portable terminal (TP), by using a set of (Ev) of vehicles (V) each associated or equipped with a terminal (TV), said terminals (TP, TV) having or being associated with devices for detecting their current positions (GLP, GLV), said method including the following steps: emission by pedestrians (P) of requests for transport, each request including at least the current position (GLP) and the destination (DP) of the pedestrian concerned; emission by vehicles (V) or their drivers of offers of transport, each offer including at least the current position (GLV) and the destination (DV) of the vehicle concerned ; reception by a server (S) of the requests and offers of transport; constitution by the server (S) of a set (Ep) of pedestrian (P) asking for a transport, constitution by the server (S) of a set (Ev) of vehicles (V) offering a transport, search by the server (S), for each of the pedestrians (Pi) o