The behaviour of concrete with hybrid fibre is investigated experimentally under impact loading by means of modified drop weight impact strength test (ACI committee 544.2R-89) on cubical specimen of size 100mm x 100mm x 100mm. For this work, concrete composite combining Crimped Steel Fibre of dosage 0% to 1.5% and Shortcut Glass Fibre of dosage 0.1% to 0.2% both by volume of concrete, were employed. The M25 grade of concrete is designed as per the guidelines of IS 10262.To improve the workability of the concrete, super plasticizers are added. The specimens were cured for 7 days and 28 days and tested for the impact strength by observing the number of blows required to create the first crack and also to cause failure of the specimen. According to the findings, hybrid fibre reinforced concrete has a stronger impact resistance than standard controlled concrete due to the addition of fibres. Furthermore, linear regression analysis was employed to generate the link between number of blows to cause initial crack and final failure during 7th day and 28th day. Using the Box Behnken Design (BBD) the prediction analysis was carried out for the impact strength of hybrid fibre reinforced concrete. Contour plot and surface were constructed to illustrate graphically the relation between number of blows for initial crack and final failure, volume fraction and impact strength