In this paper the elasticity of National travel demand for passenger transport with respect to level-of-service (e.g. transport time and cost) and socioeconomic attributes (e.g. number of cars per person, number of licenses per person, etc.) is investigated. The study has been carried out within the EXPEDITE project (EC-DGVII, 2002), whose main goal is producing multi-modal demand forecasts up to 2020 for passengers transport for Europe, by means of a Strategic Transportation model of the whole European Transport System. The modeling approach followed within the project is outlined in the paper; it is based on the already calibrated European model SCENES project (EC-DGVII, 2000), enhanced by means of existing National and regional demand models. Within the EXPEDITE modeling framework, the Italian National Models System (Cascetta et al., 1995) has been run in different scenarios (e.g. increases/decreases of travel time and costs, increases/decreases of cars per person, etc.), to obtain values of "are " elasticity for a number of identified socioeconomic and territorial market segments. The results obtained are here presented and discussed.