Welcome to the Apartment List June 2026 Rent Report for Cleburne, TX. Currently, the overall median rent in the city stands at $1,185, after rising 0.8% last month. Prices remain down 2.0% year-over-year. Read on to learn more about what’s been happening in the Cleburne rental market and how it compares to trends throughout the broader Dallas metro area and the nation as a whole.