A new and distinct variety of white nectarine (Prunus persica (L.) Batsch var. nucipersica (Suckow) C. K. Schneid.) denominated ‘;SWEET REI’;, characterized by being late-maturing, having high Brix and relatively low acidity white flesh, excellent eating quality fruit, being easy to eat because of its freestone fruit, having an attractive dark-red fruit skin color, and no deterioration of eating quality of fruit even after storage for two weeks in a refrigerator.