Energy absorption capacity of concrete material is the greatest task towards efficiency and durability. Incorporating fibres in concrete matrix added a notable enhancement in the energy absorption or toughness behavior. This paper focus on the energy absorption capacity of different composite fibres in a carefully designed slag based concrete matrix. Three different concrete matrixes were arrived based on three phase interaction of concrete ingredients. 12 composite concrete mixes were arrived based on different combination of steel and polypropylene fibres of different lengths. The test results shows mix C6 (consisting 40% coarse aggregate and 60% mortar reinforced with 23.5mm shorter polypropylene fibre and 35mm shorter steel fibre) has recorded highest compression and flexural value. The toughness properties is assessed from the load-deflection plot. It was found that mix C2 (consisting 50% coarse aggregate and 50% mortar reinforced with 47mm longer polypropylene fibre and 60mm longer steel fibre) has shown a significant increase in the toughness value in the post peak region. The residual strength ratio of all the mixes has recorded a better result than plain concrete mix. The significance of longer fibres strengthening the concrete matrix is experimentally evaluated and justified. © Research India Publications.