Based on the chaotic synchronization between two response semiconductor lasers (RLs) subjected to incoherent optical injection of common-chaotic-signal from a driven laser (DL), a bidirectional chaos communication scheme is proposed, and the chaotic synchronization characteristics and the effects of intrinsic mismatched parameter on the synchronization performances are numerically investigated. The results show that high-quality chaos synchronization between the two RLs can be achieved while the cross-correlation coefficients between the two RLs and the DL are very low under proper operation condition; the intrinsic parameter mismatching between two RLs will destroy the synchronized quality to a certain extent, but the consequence is not severe. Additionally, the bidirectional transmission performances for two messages with 2Gbit/s and the security of the scheme are also analyzed.