In this chapter, the problem of intercity and extra-urban transit assignment will be dealt with through a network approach which explicitly considers timetables, and a random utility choice model involving departure time and path. The spatial-temporal network used is diachronic, thus allowing dynamic assignment of the demand. In the first pan, after a general analysis of transit assignment models, the timetable and network assignment model formulated by the authors is described, reporting the user's behavioural hypothesis on which it is based. In the second part, the departure time and path choice model required are analysed to determine the penalty function of anticipation and delay, which must be inserted in the network model, and two random utility legit and probit models are reported and calibrated for home-work and home-school trips. In the final parr, two applications of the test network model are described.