Open networks are always changing and unpredictable. The new trust management mechanisms will be needed in dynamic networks environment to ensure the open networks. A new trust management is proposed in this paper which trust is divided into two layers: network connection trust layer and application trust layer. Network connection trust layer is the foundation. If there is no network connection trust layer, there is no application trust layer. The trust relationship between each peer layer includes the basic trust and experience trust. Experience trust value is evaluated by fuzzy theory and a new connect operator and merge operator is presented to fuzzily evaluate the recommend trust value. Result shows that this trust architecture is suitable to establish trust relationship among principals and make a new secure solution in open network environment.