Burnet County is a county located on the Edwards Plateau in the U.S. state of Texas. As of the 2020 census, its population was 49,130. Its county seat is Burnet. The county was founded in 1852 and later organized in 1854. It is named for David Gouverneur Burnet, the first president of the Republic of Texas. The name of the county is pronounced with the emphasis or accent on the first syllable, just as is the case with its namesake.