Abstarct: The Darcy's law is used to study the flow of Newtonian fluids in a porous media. The Darcy's law predicts a linear relationship between velocity and pressure gradient for Newtonian Fluid flow, but it is not valid for non- Newtonian fluid flow in a porous media. Therefore, in order to investigate the non- Newtonian fluid flow in a porous media, Darcy's modified law should be used. Compared to Newtonian fluid flow, only a small number of mathematical macroscopic models are presented for non- Newtonian fluid flow in a porous media. By analogy with Oldroyd-B constitutive relationship, the modified Darcy-Oldroyd model, which is a phenomenological model, is obtained for the flow of viscoelastic fluids in a porous media. The modified Darcy-Oldroyd model relates pressure drop and velocity for a viscoelastic fluid in a porous media and has two time constants, relaxation time and retardation time, which are the rheological properties of non-Newtonian fluids. Since there is no empirical evidence for the Darcy-Oldroyd model, the aim of current study is to verify this model. The Hel-Shaw cell was used to simulate the porous media and a polymeric Boger solution is used to carry out experiments because it follows the Oldroyd-B model. Since the Darcy-Oldroyd model is inherently unsteady, variable flow rates are considered. baxsed on the Darcy-Oldroyd model, The relaxation and retardation times are calculated by minimizing the difference of theorical and experimental results. Comparing the time constraints obtained by the Darcy-Oldyod model with the results of the rheometer tests, it was found that the Darcy-Oldroyd model has acceptable agreement with the obtained experimental results.