Distributed dynamic trust model, as a new access management mechanism which applies to cloud computing environment, has been studied extensively. However, many existing trust models ignore the reliability of trust data and lead to failure when facing malicious recommendation. To solve this problem, this article proposes a new model named DDTM-TR (distributed dynamic trust management model based on trust reliability). Firstly, in order to reduce the bad effects of unreliable data on direct trust, recommendation trust and integrated trust, the reliability of trust data is evaluated. Second, several candidate nodes are selected and their integrated trust values are calculated, and one of them is selected randomly according to the stochastic decision algorithm based on their integrated trust values. Finally, the node reliability is updated according to the feedback after the interaction. The experiments demonstrate that DDTM-TR model performs better than the compared models in resisting malicious service and malicious recommendation, and the failure rate can be reduced further by the feedback algorithm.