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Data Grid provides geographically distributed storage resources for large-scale data-intensive applications that generate large data sets. Because data is the important resource in data grids, an efficient management is needed to minimize the response time of applications. Replication is typically used in data grids to improve access time and to reduce the bandwidth consumption. In this paper, we propose a new replication strategy for dynamic data grids which takes into account the dynamicity of sites. Indeed, the dynamicity of sites is an important challenge in grids. Our strategy helps to increase file availability, to improve the response time and to reduce the bandwidth consumption. We evaluate our strategy through simulation using OptorSim. The results we have obtained appear to be promising.