This paper presents the performance of Transmit Diversity-Turbo Trellis Coded Modulation (TD-TTCM) over Wide Sense Stationary Uncorrelated Scattering (WSSUS), Multiple-Input-Multiple-Output (MIMO) channels. To achieve high bandwidth efficiency and/or high power efficiency, in TD-TTCM, binary input sequence is passed through a turbo trellis encoder, mapped to 8-PSK and then fed into a new transmit diversity (TD) scheme for high data transmission over wireless fading channels. At the receiver side, the distorted multi-path signals are received by multiple receive antennas. WSSUS MIMO channel parameters and modulated signals are estimated by using Genetic Algorithm (GA) and an iterative combiner, respectively. Then they are taken as an input to Turbo trellis decoder. Here, TD-TTCM and its efficient implementations are discussed and simulation results are presented.