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With the converging of grid computing and Web service, grid has extended its territory from traditional computing grid to service-oriented grid, which is aiming to realize coordinated resource sharing and problem solving through service selection and composition. Therefore, selecting credible services for applications becomes a key issue in grid environment. Current research on trust inherits the conception of trust from P2P network which is coarse-grained and subjective to satisfy the requirements in grid environment. In this paper, a novel trust model considering userpsilas QoS constraints is proposed. Two new concepts, namely trustworthiness of service and satisfactoriness of service, are introduced into the proposed trust model, which are used to describe the resourcespsila capabilities and userspsila satisfaction respectively. The proposed trust model applies Bayesian Network to evaluate servicespsila trustworthiness that takes into account userspsila multiple QoS metrics. Simulative results show that the establishment of trust is more efficient. Also, when using the proposed trust model for service selection, experimental results indicate that it outperforms other models in terms of query success rate and userpsilas satisfaction.