In this paper, at first by means of the differential quadrature elementincremental method as a computationally efficient and accurate numerical tool in conjunction with the Newton-Raphson method, the behaviour of the bicomponent fixed-bed adsorption is studied. The kinetics of the adsorption is formulated based on the linear driving force (LDF) approximation. Then, an inverse algorithm is employed to estimate the overall mass transfer coefficients of the adsorption column by using the measured time histories of the mole fractions of outlet multicomponent. The method allows one to obtain the values of the LDF mass transfer coefficients for the different adsorbents and adsorbates. The conjugate gradient method is adopted for the optimization procedure of the inverse algorithm. The robustness and applicability of the present inverse approach are demonstrated by solving different examples with the exact data of the known kinetics.