In this paper, we present a sub-optimal antenna selection technique to enhance the channel capacity in the case of High SNR MIMO correlated downlink channel. Most related work has thus far considered uncorrelated MIMO channel with antenna selection technique and used a larger radio frequency (RF) module. Thus, we propose the MIMO correlated downlink MIMO channel with sub-optimal antenna selection method to employ a smaller number of RF module. In this paper, we first design and develop the Toeplitz channel correlation matrices which reflect the correlations between the transmitter antennas, then apply a sub-optimal transmit antenna selection technique to improve the channel capacity. Mote Carlo simulation results show that the channel capacity significantly enhance considering equal power transmission.