Euphorbia ohiva Swanepoel, a new species of woody Euphorbia, restricted to the Kaokoveld Centre of Endemism in northwestern Namibia and southwestern Angola, is described. Illustrations and a distribution map of the new species, as well as a table of comparative morphological features to distinguish it from E. matabelensis Pax, its putative closest relative, are supplied. Keywords: centre of endemism, Euphorbia sp. nov., Euphorbiaceae, Kaokoveld, Namibia, Taxonomy.