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In this paper, in a barotropic model the propagation of long-lived anticylonic Gaussian eddies larger than the radius of deformation over a Gaussian-shaped topography and the merging of the two anticyclonic eddies are investigated by solving the generalized Flierl-Yamagata equation. It is shown that whether or not the basic flow is present, the isoated topography seems to encourage the amplification of an anticyclonic eddy and its southwest movement around the hill. In the absence of both the westward flow and the topography, two anticyclonic eddies of indentical sizes and amplitudes can merge. However, either the including of the topography or the westward basic flow can make them not merge. In the presence of both, the eddies can merge, but this merging depends on whether the parameter condition is appropriate or not. Therefore, it can be concluded that the topographic forcing might be a possible mechanism for the merging of two anticyclonic eddies.