Lugal is the fifth foal and second winner out of Atab (New Approach), who won as a two-year-old.

Second dam Moon's Whisper (Storm Cat) never raced but has produced seven winners, among them stakes performers such as Ibn Malik (Raven's Pass), a Listed winner who was Group 2-placed. Another daughter, Hamsat Elqamar (Nayef), won at three and is the dam of Rabiosa Fiore, a winner placed twice at Listed level. Moon's Whisper is a half-sister to the Group 3 winner Moon Driver (Mr. Prospector) and to his full brother Mojave Moon, a dual winner who was Group 3-placed and became a sire.

Third dam East of the Moon (Private Account) was a champion and Classic winner in France, won three Group 3 races and produced three winners. She is a half-sister to Kingmambo, also a Classic winner and later a leading sire.

East of the Moon is the grandam of Alpha Centauri (Mastercraftsman), a dual Group 1 winner and champion 3-year-old in Europe, of her full sister Discoveries, also a Group 1 winner, and of their half-sibling, the Group 1 winner Alpine Star (Sea The Moon). This is also the further family of Miesque (Nureyev), a champion and multiple Group 1 winner.

Atab has a three-year-old full sister to Lugal, the winner With A Leap, a two-year-old full brother, the winner Bold Tempest, and a yearling filly by Epiphaneia.