Fibre reinforced concrete is very widely used in the building construction, in which concrete consists of uniformly distributed, but randomly oriented fibres. In this study, a steel fibre was added to concrete, to enhance the mechanical properties of the concrete. Steel fibres were used at the volume fraction of 0.55%, 0.95% and 1.35% were used. The cube specimens were subjected to room temperature (28 °C) and various elevated temperatures of 150 °C, 350 °C, 550 °C and 750 °C. The residual compressive strength was found for the specimens which were subjected to elevated temperatures. The quadratic polynomial model using RSM is proposed in this paper, which is used to predict the compressive strength of concrete when there is variation in temperature and steel fibre content. The quadratic equation has shown good agreement when validated using other researcher works. © 2019 Journal of Applied Science and Engineering. All rights reserved.