The new variety ‘TH-929’ is provided. The new and distinct variety ripens around the second week of May in southern Georgia. The fruit of the new variety ‘TH-929’ are very large, firm, and have good flavor. The new variety ‘TH-929’ is vigorous with an estimated chilling requirement of about 500 to 550 hours at or below approximately 7° C. The asexually reproduced variety is reliably propagated vegetatively.