We present a kinetic model with convection-collision coupling effect for traffic network flow, which is incorporated a demand-supply constraint.As for the link modeling, a constraint considering demand and supply function is introduced into the discrete velocity model and a new flow allocation calculation rule is proposed for the distribution function, i.e., the velocity classes with higher speeds have a greater possibility to pass the interface earlier than the one with lower speeds in the local discrete link cells.Then the proposed kinetic model is extended to the traffic network and a method to solving the Riemann problem at intersection for mesocopic variables is constructed.Numerical examples show that the proposed model can replicate some traffic phenomena on road network, such as, the formation and dispersion of traffic congestion, using the mesoscopic variables.Moreover, the computational efficiency is improved and the nonphysical oscillation is avoided than the general discrete velocity model with collision term.This work can be used as the dynamic network loading procedure to describe the travel cost more accurately for dynamic traffic assignment problem.