A new cultivar of Delosperma plant named ‘;Tangerine Tango’; that is characterized by its floriferous blooming habit, its red-orange flowers with white centers, its very compact and tight mounds of foliage that do not become long or leggy during the summer growing months, its strong re-blooming habit during the entire growing season and into late fall, its small plant size, its uniform rooting habit, and its uniform blooming period with other plants in the series.