A new distinct cultivar of Osteospermum plant named `Sunny Florence`, characterized by strikingly clear orange ray florets, RHS 29C (upper side); gray-purple disc florets (RHS 186A (tip) to light purple, RHS 76D (base)) when inflorescence opens; many ray florets (35) in 11/2 whorl; gray-green young foliage, RHS 189 A; and narrow leaves with 8 distinct pointed lobes.