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Identity based encryption (IBE) has received great attention since Boneh and Franklin's breakthrough work on bilinear group based IBE. Till now, many IBE schemes relying on bilinear groups with different properties have been proposed.In this paper, we propose a new IBE scheme. We prove this new IBE scheme is semantic secure under the selective identity chosen plaintext attacks (IND-sID-CPA) in the standard model based on a related DBDH assumption in the bilinear groups. To prove this IBE scheme's security, we introduce some novel technique which maybe has independent interest.