Abstract. In this paper, a new Grid security framework based on dynamic access control is introduced to address some security problem in Grid. Based on the dynamic evaluating results about trusts among resources and users, users secure access levels are changed dynamically. The track of users behaviors using resources is criterion for assigning secure levels to different users and for allocating the resources to users in the next application execution. Here, the dynamic access controls are realized by mapping users secure levels to access rights. In our experiment Grid, the evaluation mechanism of users behaviors is applied to support the dynamic access control to Grid resources.