This research article is reported the rheology of peristaltic flow of hot Bingham fluid inside an elliptical channel with sinusoidal moving walls. Convert the dimensional mathematical problem to a dimensionless form when replacing the parameters and using the long wavelength approximation. The governing equations were solved analytically to obtain files of velocity, and pressure gradient in addition to solutions for the flowing pressure height. The polynomial used is of the fourth order containing six constants that provide a solution to the velocity and flow function equations by laminar peristaltic transport for a non- Newtonian Bingham fluid. Using the Cartesian coordinate system by employing the ellipse equation in the channel boundary conditions. Showing the behavior of symmetrical axial flow through graphical results in the Mathematica mathematical program. Velocity files have parabolic shapes.