Ackerly is a city in Dawson and Martin Counties in the U.S. state of Texas. As of the 2020 Census, the population was 264. The Martin county p…Ackerly is a city in Dawson and Martin Counties in the U.S. state of Texas. As of the 2020 Census, the population was 264. The Martin county portion of Ackerly is part of the Midland-Odessa metropolitan area.