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In order to solve the Fault-Tolerant problem of the cloud storage system, the stream regeneration with regenerating codes is proposed. The stream regeneration is based on the regenerating codes with pipelined regeneration which evolves from regenerating codes theory. Stream regeneration extends the pipelined regeneration. It was proved that with the same participating nodes, the total amount of network traffic used in stream regeneration is equal to the pipelined regeneration, but stream regeneration has a higher regenerating efficiency than the pipelined regeneration. In each regeneration round, stream regeneration can regenerate r failed nodes, while the same level of data integrity can still be guaranteed as in the pipelined regeneration.