A new cultivar of Leucanthemum plant named ‘;Real Snowball’; that is distinguishable by tight clumping basal branching and upright plant habit, domed to hemispherical inflorescences consisting of numerous whorls of pure white, tubular ray florets. Flowering of ‘;Real Snowball’; commences in late June and continues until October on plants which are 40 cm in height and 35 cm in width after 1 year of growth from an initial cutting.