Disclosed is a new variety of Prunus persica named ‘Smooth Zest Two’. This new variety, which requires 200 to 250 chilling units of dormancy, is considered to be a nectarine tree of early season maturity, which ripens in early to mid May in the medium chill zone of Texas and produces yellow fleshed fruit that are very firm, attractively colored, and suitable for both the local and regional fresh fruit market.