The management of resources and scheduling computations in a grid environment is a complex undertaking, mainly due to resource抯 geographic distribution, heterogeneity, distributed ownership with different policies and priorities, varying loads, reliability, and availability conditions. A unified resource mapping strategy in computational grid environments is presented, which considers the input data repositories and QoS of tasks to mapping a set of independent tasks (meta-task) to resources. The repetitive mapping algorithm is more suitable for the dynamic adaptability and dimain autonomy in the grid.The henefit function heuristic adopted in the algorithm can ass ure the QoS of of tasks more effectively.