In this paper the problem of distributed source coding (DSC) of binary sources with side information at the decoder is addressed. We propose a scheme based on Raptor codes which are a new class of rateless codes. We adapt the decoding scheme to this problem by implementing the message passing strategy between the constituent decoders of Raptor codes at each decoding iteration. The proposed approach enables to achieve better performances than those achieved by the solutions based on turbo codes, and by the solutions based on regular low density parity check codes (LDPC) codes.