Abstract: The economic model was applied to solve the QoS (quality of service) guarantees problem, and a utility model expressed in multi-QoS attributes was presented, which can be used to dynamically allocate resource in the Grid. A multi-QoS attributes-based joint utility function scheduling (JUFS) algorithm under the deadline and budget constrain was proposed. The performance of the algorithm was evaluated through a series of simulations. Comparisons with other economic and non-economic algorithms show that the performance of the JUFS algorithm matches well with the service on demand in the Grid.