Vehicular loads are an important factor in the fatigue and deterioration of bridges. In this paper, using weight-in-motion data from the Nanxi Yangtze river bridge, we propose a novel two-dimensional (2D) compound Poisson process model of vehicle loads. This model considers the relations between vehicle loads, including vehicle speed and weight, whereby the relationships between these two marginal processes are described by a 2D Lévy copula function. Vehicle loads simulated by the proposed model were then compared with measured vehicle loads. ...