Cove is a city in Chambers County, Texas, United States. The population was 525 at the 2020 census, up from 510 at the 2010 census. Cove i…Cove is a city in Chambers County, Texas, United States. The population was 525 at the 2020 census, up from 510 at the 2010 census. Cove is located in northwestern Chambers County on the west side of Old River Lake, an arm of the Trinity River. Interstate 10 passes the northern end of the town, with access from Exit 803. I-10 leads west 35 miles to Houston and east 49 miles to Beaumont.