The purpose of the present investigation is to examine the impact of Hall current, joule heating and mass transfer on MHD peristaltic hemodynamic Jeffery fluid with the porous medium under an influence of chemical reaction through an inclined tapered vertical channel. Thermal radiation is also taken into the account. An analytical solution is carried out under a small Reynolds number and large wavelength approximations. Numerical results were presented for axial velocity, pressure rise, frictional force, temperature and concentration. Variations of the said quantities with dissimilar parameters are computed by using MATHEMATICA software. It is worth mentioning that the pumping rate enhances in free pumping (?p =0) and augmented (?p <0, ?? >0) zones whereas the trend is reserve in retrograde pumping region (?p >0, ?? >0) and peristaltic pumping region (?p >0, ?? >0) with an increase in hall current parameter .We notice that the frictional force exactly has an opposite behaviour when compared to the pressure rise. It is clear that the temperature of the fluid reduces by an increase in thermal radiation parameter. We notice that the concentration distribution reduces by increase in chemical reaction parameter.