We propose a concatenated trellis code (TC) and coordinate interleaved differential space-time block code (STBC) for OFDM. The coordinate interleaver, provides signal space diversity and improves the codeword error rate (CER) performance of the system in wideband channels. Coordinate interleaved differential space-time block codes are proposed for the concatenated scheme. TC design criteria are derived, and the CER performances of the proposed system are compared with existing concatenated TC and differential STBC. The proposed scheme has superior diversity gain and improved CER performance compared to the existing differential schemes.