Abstract: The current research on Piggybacking codes mainly focuses on the fast repair of single systematic nodes, the repair bandwidth rates of the failed parity nodes remain higher, and fast repair algorithm has not been proposed for multi-node fault repair. For this reason, this paper proposes the construction scheme of locally Piggybacking codes. Specifically, on the basis of Piggybacking framework, two local parity sub-strips are added, the data blocks placed in a staggered manner, the systematic node grouped in sequential piggybacking, to reduce the repair bandwidth overhead and repair degree of the failed nodes. Performance analyses show that, the locally Piggybacking codes constructed in this paper have reduced the repair bandwidth rate of both the systematic nodes and parity nodes prominently, and compared to the existing Piggybacking codes, the performance of the repair degree also has a significant improvement.