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To objectively and correctly quantify the entity's trust according to the entity's behaviors is a challenge in the Grid environments. This paper proposes a behavior trust computation model based on risk evaluation to deal with this issue. In this paper, an effective system framework, which includes asset identification, threat identification and trust relationship identification, is designed. The experimental results show that the presented model can objectively and correctly control the change of trust according to the evaluation result on the entity's behaviors. The result is in line with the people's standpoints to the malicious actions and the honest actions in daily life.