By considering the equations of the deformable barriers and the fluid, this study presents an analytical key for the peristaltic pumping of an incompressible Newtonian fluid through a uniform channel under the effect of compliant wall characteristics. Our focus is on the peristaltic motion of an incompressible Newtonian fluid and how it is affected by compliant wall features. The effects of sinusoidal waves on the channel walls are explored under the long wave length assumption. The necessary boundary value problem is solved by assuming small amplitudes. For different values of amplitude, wave speed, and wavelength as well as mass per unit area of membrane, several flow characteristics, including fluid velocity and mean velocity of interest, are illustrated and analyzed. All numerical work is performed in MATLAB 7.0.