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A major challenge facing grid applications is the appropriate handling of failures. Data replication is a key technique of data grid, from which, we can get better access performance. It is a fault-tolerant approach, but at the same time bringing some hidden trouble for security, so security and fault-tolerance should be colligated to research. Combining data replication with security, we propose a mathematic model which can determine data replication quantity. In this model, taking economic interest and reputation index of service supplier into account, we simplify an optimization problem of two targets under hypothesis in reason. Through numeric calculation and analysis, we show there is an optimal point for the data replication.