Round Top is a town in Fayette County, Texas, United States. The population was 77 at the 2000 census. Round Top is the home of three visitor-drawing programs: Round Top Antiques Fair — Outdoor gathering of antiques dealers drawing enormous crowds each Spring International Festival — Institute at Round Top - Renowned music institute for young musicians and faculty Shakespeare at Winedale — Shakespeare-in-Performance study program administered by The University of Texas at Austin English Department Round Top is also the home of the oldest building in Fayette County, Moore's Fort, which was moved there from nearby La Grange.