A distinct cultivar of Carnation plant named `Yoder Joy`, characterized by its white-colored flowers with purple-colored picotee petal margins and random spots and streaks; freely flowering habit with about eight to ten flowers per flowering stem; slightly fragrant flowers; strong calyxes that resist splitting; good postproduction longevity with flowers maintaining good substance and color for about ten days in an interior environment after shipping; and resistance to Fusarium oxysporum.