In this paper, we prove coupled fixed-point theorems in complex partial b-metric space. The proved results generalize and extend some of the well-known results in the literature. We also give some applications of our main results. Copyright © 2020 Gunaseelan Mani et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.