Abstract: In this paper, the differential quadrature method(DQM) is briefly described, and is used to deal with the problem of thebuckling of a column under axial loading. The non-linearequations are solved by the Newton-Raphson method. And the generalizedeigenvalue equation is solved under a linearhypothesis. We obtain the displacement at anyposition and the critical value at the bifurcation point. Numerical resultsshow that the differential quadrature method possesses a higher accuracy andis easier to implement as compared with the analytic solution and other approximatesolutions for the problem.