This paper investigates the compressive strength and modulus of the alumina nano particle embedded glass and carbon fiber reinforced epoxy based hybrid composite materials through the compression test. In this analysis, the volume fraction of the alumina nano particles, glass and carbon fibers within the epoxy matrix was varied as 1%, 2%, 3%, 4%, 5%, 10% and 15%. The hybrid composite was made by adding a constant 2wt.% of alumina nano particles within the epoxy matrix along with the fibers. From the experiment, it was found that the strength of the compressive strength and modulus both were increased up to 2wt.% fiber addition. Further improvement in the properties was observed in case of hybrid composites. From this analysis, it was found that the improvement of the properties in the composite was restricted to the 2wt.% filler addition and the properties decreases there after.