Using economic principles to the resource management and scheduling in the Grid environment is an efficient method in applying the Grid theory to practical applications.This study mainly examines the integration of the notion of “trust” into the resource management based on the GRACE Grid Architecture proposed by Dr Buyya.We propose a trust value quantitive computing formula,which is based on the differential equation, trust = direct trust ⊕ reputation, and construct a Grid trust model based on its behavior. According to the demand of different application environments,we improve the Grid economic model DBC scheduling algorithm and take time optimization, cost optimization and time cost tradeoff optimization as the goal of scheduling algorithms (Trust DBC) based on trust. The performance of these algorithms is superior to the algorithm without considering trust based on theory analyses and simulation experiments.