In MIMO X channel (XC) there are two multiple transmitter and receivers antenna pairs, where every transmitters communicate to every receivers. The MIMO Z channel (ZC)  is the special case of MIMO X channel  that is obtained by elimination of one link and message corresponding to it. MIMO Z has been derived and then compare to existing system. After MIMO X channel will be derived and then propose the new upper bound for MIMO ZC. Next we will consider worst noise covariance at receiver to derive another upper bound called MIMO MAC. After utilization of the MIMO MAC Channel we calculate better upper bound by utilization of tighter sum rate named Turbo MIMO X Channel. Finally, we use Turbo MIMO X equations. These numerical equations give the better proposed upper bounds of sum rate capacity which is tighter than existing bounds. © 2016 IEEE.