City Hall of Rosebud, Texas, United States. – Larry D. Moore, CC BY 4.0 – Wikimedia Commons Rosebud is located in Falls County. About 1,296 people live here (as of 2020). Between 2010 and 2020, the population declined from 1,412 to 1,296. The region is at 121 meters above sea level. The area covers about 2.1 square kilometers. There are about 69 streets in Rosebud. The postal codes are 76570. The dialing code is 254. Rosebud is human settlement in Falls County, Texas, United States of America. Among other things, Rosebud has cafés.