In this work, a two port circularly polarized (CP) MIMO Cylindrical Dielectric Resonator Antenna (CDRA) with Quad-band response is designed for terahertz (THz) application. This antenna is new since MIMO Graphene DRA antennas in the THz frequency range is insignificantly studied. The unique feature of this antenna is, it provides resonance at four bands and provides quad sense CP response in the pass band at THz frequency region. Moreover, by varying graphene potential of the antenna, isolation between the two antennas is increased and CP tuning can also be achieved. The proposed DRA generates two higher order modes (HEM11δ and HEM12δ). This antenna provides 10 dB Impedance Bandwidth (IBW) of 5.86%, 4.96%, 2.64% and 5.23% at four resonant frequencies. The 3dB Axial Ratio Bandwidth (ARBW) is 8.22%, 2.48%, 3.67% and 5.67% at the quad-band frequencies. Various MIMO performance parameters are evaluated and found in acceptable limits. Advantages of the proposed design are quad response, higher order modes generation, CP tuning and good isolation between the ports. The tunability of graphene material allows it to provide CP responses in the frequency region that is most useful in biomedical applications. The use of a CP antenna in a THz biomedical application can improve system sensitivity by reducing polarisation losses and aligning them. All these features make the proposed MIMO DRA a unique and is suitable for THz applications. Figure1 shows the structure of our designed MIMO DRA and Figure2 shows simulation results of |S11| and axial ratio in dB.