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Let $$\mathcal{O}_1 $$  and $$\mathcal{O}_2 $$  be adjoint nilpotent orbits in a real semisimple Lie algebra. Write $$\mathcal{O}_1 $$  ≥ $$\mathcal{O}_2 $$  if $$\mathcal{O}_2 $$  is contained in the closure of $$\mathcal{O}_1 $$ . This defines a partial order on the set of such orbits, known as the closure ordering. We determine this order for the split real form of the simple complex Lie algebra, E8. The proof is based on the fact that the Kostant-Sekiguchi correspondence preserves the closure ordering. We also present a comprehensive list of simple representatives of these orbits, and list the irreeducible components of the boundaries $$\partial \mathcal{O}_1^i $$  and of the intersections $$\overline {\mathcal{O}_l^i }  \cap \overline {\mathcal{O}_l^j } $$ .

The closure diagram for nilpotent orbits of the split real form of E8