eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2023-11-10 11 3 98 99 10.12691/ajams-11-3-3 AJAMS20231133 article K. Prudhvi prudhvikasani@rocketmail.com 1 Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, Telangana State, India In this paper, we obtain a unique common fixed point theorem for pair of self-mappings of OWC(Occasionally Weakly Compatible) pair of mappings in C-MS(Cone -Metric Space) and also given the example for supporting this result. Our result is a generalization and improvement of the some results they are present in this references. http://pubs.sciepub.com/ajams/11/3/3/ajams-11-3-3.pdf fixed point OWC(Occasionally Weakly Compatible) C-MS(Cone -Metric Space)