Title: Inference for origin-destination matrices of transport networks: a Bayesian approach Abstract: Information on the origin-destination (OD) matrix of a transport network is a fundamental requirement in much transportation planning. A relatively inexpensive method to update an OD matrix is to draw inference about the OD matrix based on a single observation of traffic flows on a specific set of network links, where the Bayesian approach is a natural choice to combine the prior knowledge about the OD matrix and the current observation of traffic flows. The existing approaches of Bayesian modeling of OD matrices include using normal approximations to Poisson distributions which leads to the posterior being intractable even under some simple special cases, and/or using MCMC simulation which incurs extreme demand of computational efforts. In this paper, through the EM algorithm, Bayesian inference is reinvestigated for a transport network to estimate the population means of traffic flows, reconstruct traffic flows, and predict future traffic flows. It is shown that the resultant estimates have very simple forms with minimal computational costs incurred.