. This paper presents the results of a study about elastic lateral torsional buckling of web tapered cantilever I beams. Elastic buckling analysis was carried out on a number of web tapered cantilever I beam. Beam parameters are expressed in term of dimensionless parameter for lateral torsional buckling and the slope of the side of the tapered web. The analysis is performed using finite element method and the SAP 2000 v 14 program is used to do the analysis. The finite element formulation is based on bifurcation theory. This theory leads to Eigen Value Problem. Critical moment is the lowest Eigen value. The load to be considered is point load at the free end of the beam and uniformly distributed load. Three location of load are considered. The first is at shear center, the second is at top flange and the third is at the bottom flange.From this study, it can be concluded that the slope of the side of tapered web has little influence on the critical moment. But the influence of load height on critical moment is strongly influenced by the slope of the side of the tapered web. Equations for estimating the critical moment has been obtained by regression of the data results of the finite element method.