Disclosed is a new variety of Prunus persica named ‘Smooth Delight One’. This new variety, which requires 350-400 chilling units of dormancy, is considered to be a nectarine tree of early season maturity, ripens in early to mid-May in the medium chill zone of Texas, which produces white fleshed sub acid fruit that are very firm, attractively colored, and suitable for both local and regional markets.