In this study, the sub-equation method is used as a tool for finding the analytical solutions of Coupled Boiti-Leon-Pempinelli (CBLP) equation where the derivatives are in conformable form with the fractional term. In the introduction section, the advantages of the conformable derivative are expressed. By using the fractional wave transform and chain rule for conformable derivative, the nonlinear fractional partial differential equation turns into a nonlinear integer order differential equation. This translation gives us a great advantage in obtaining analytical solutions and interpreting the physical behavior of the acquired solutions. In the rest of article, the sub-equation method is applied to Coupled Boiti-Leon- Pempinelli equation, and the analytical results are derived successfully. This means that our method is effective and powerful for constructing exact and explicit analytic solutions to nonlinear PDEs with the fractional term. While this process, symbolic computation such as Mathematica is used. It is shown that, with the help of symbolic computation, sub-equation method ensures a powerful and straightforward mathematical tool for solving nonlinear partial differential equations.