Because of the inherent brittleness property of monolithic epoxy, it fails to prevent crack propagation and is hence vulnerable to the catastrophic failure. Nano-fillers, such as CNT/Graphene (GnP)/Nanodiamond (NDs) and other carbonaceous materials increase its ability to withstand crack propagation thus its fracture strength propitiously improved. This paper studies compressive properties of MWCNT/GnP/NDs on epoxy based composite material. A static uniaxial compression test was conducted in order to study the effect of these fillers on the compressive stress-strain behaviour of such composites. In this study, the MWCNT/GnP/NDs are added individually as 0.2 wt% and for the hybrid composite, 0.1 wt. % of NDs is added separately along with 0.1 wt% of MWCNT and GnP to the epoxy matrix. The bonding between MWCNT/GnP/NDs with the epoxy matrix is confirmed by microscopic observations. The results showed that the individual addition of 0.2 wt% of MWCNT/GnP/NDs, improves the compressive strength whereas the hybrid composite produced a declining trend. The reverse trend was also observed for the modulus value of the above mentioned composite materials.