Description and specifications of a new and distinct blackberry cultivar named ‘APF-153T’ which originated from seed produced by a hand-pollinated cross of Ark. Selection A-2301T (non-patented, unreleased genotype)×APF-49T (non-patented, unreleased genotype) is provided. This new blackberry cultivar can be distinguished by its very large attractive fruit, very good flavor, excellent plant health, very early ripening, thornless, erect canes and primocane fruiting habit.