Very recently, N. Souayan and N. Mlaiki [Nazir Souayan and Nabil Mlaiki, A fixed point theorem in S b-metric spaces, J. Math. Comput. Sci. 16 (2016), 131-139] and S. Sedghi et al. [S. Sedghi, A. Gholidahneb, T. Došenović, J. Esfahani, S. Radenović, Common fixed point of four maps in S b-metric spaces, to appear in J. Linear Topol. Algebra], introduced the concept of S b-metric space as a generalization of S-metric space. In this paper, we modified the definition of S b-metric introduced by Souayan and Mlaiki and prove some coupled common fixed point theorems in S b-metric space. We also present an example to confirm our theoretical results.