Fellbach is a mid-sized town on the north-east edge of Stuttgart in Baden-Württemberg, Germany. With a population of approximately 45.430 as of December 2020 is the second largest town in the District Rems-Murr-Kreis. The area of the town is 27.7 km2. Fellbach was first mentioned as Velbach in 1121. It was called Vellebach in 1357 and the name Fehlbach was used in around 1800. On 14 October 1933, it was declared a city.