This letter proposes an integrated approach to multimedia ATM network design. An optimization model that combines the physical layer design with the logical layer design is developed. A key feature of the model is that the objective to be maximized is a profit function. It includes more comprehensive cost functions for the physical and logical layers. A simple heuristic algorithm to solve the model is presented. It should be useful in practice for network designers and operators. Some numerical examples are given to illustrate the application of the model and the algorithm.