The study is to organized for investigation of a new solution for stellarobjects in κ(R, T ) theory. We investigate whether Krori-Barua modelproduces valid results in κ(R, T ) theory. We attain field equationsthrough Krori-Barua metric form related with geometry of inner space.From field equations, we obtain all unknown matter components κ(T ) =8πG−λT case in the theory. Constructed model is considered with someclass of compact stars such as 4U1820 − 30, SAXJ1808.4 − 3658and HerX − 1. To prove physical stability of constructed model, weinvestigate both normal and effective matter form behaviors by way ofsome physical conditions. It is found that all conditions are valid foreffective matter. Therefore, this study reveals consistency of both thecompact star model and the gravitation theory. But remarkable point isthat normal matter has to face with some problem in the κ(R, T ) theory.