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Ordering of geometrically frustrated magnets has attracted much recent interest, since it often leads to intriguing phenomena like a spin-liquid behavior and an unconventional magnetic ordering. In this talk, I wish to take up two such examples from the ordering of frustrated antiferromagnetic Heisenberg model in two dimensions. One is an exotic vortex order and a "spin-gel" state realized in the antiferromagnetic Heisenberg model on the two-dimensional triangular lattice, which might have some relevance to the transition-like behavior recently observed in certain triangular-lattice antiferromagnets, and the other is a novel first-order transition and topological excitations realized in the antiferromagnetic Heisenberg model on a distorted kagome lattice, which might have some relevance to recent experiments on certain kagome-lattice antiferromagnets.