[1] Before World War II he lived in Skopje, Zagreb and Belgrade, working as a literary critic and a secondary school teacher,[2] and joined the Communist Party of Yugoslavia.
His first book of poetry, Glineni golubovi (Clay Pigeons, 1937), was banned by the Yugoslav royal regime.
He joined the Partisans in 1941, and after World War II he was briefly one of the most prominent figures in Yugoslav government, as head of the propaganda of the Communist Party of Yugoslavia, authoring several programmatic and polemical articles and criticism from the standpoint of dogmatic real socialism (Na poprištu, "At the scene", 1948).
In the late 1960s Zogović was semi-rehabilitated, and in that period his best works were published: poetry collections Prkosne strofe ("Defiant verses", 1947), Žilama za kamen ("Veins for the rock"), Artikulisana riječ ("Articulated word", 1965), Lično, sasvim lično ("Personal, very personal"), Noć i pola vijeka ("A night and half a century", 1978) and Knjaževska kancelarija (The Prince's Office).
Among his close friends were the Serbian poet Desanka Maksimović and the Montenegrin novelist Mihailo Lalić.