The present study deals buckling capacity considering both of nodal buckling and member buckling in a pin-connected reticular dome of single layer on a hexagonal plan. The dome is assumed to be supported by pin-ends on the six corners and by rollers on the periphery except the corners. The buckling load as well as its behavior is investigated in regard to a nodal geometric imperfection and several loading conditions. Based on a parametric study of the buckling load by an elastic-plastic nonlinear analysis, an approximate method is discussed from a view point to estimate the buckling load.