A new cultivar of shrub rose, Rosa `BAIrift`, characterized by its flowers that are very full, colored white with an apricot center, and fragrant flowers, its uniformly upright and arching plant habit and its recurrent blooming habit. The new variety has medium green glossy foliage that is resistant to black spot and powdery mildew, is readily propagated on its own roots and is hardy in U.S.D.A. Zones 4 to 9.