Schlat changed owners several times during the Middle Ages. Barbara von Schlat, a local noblewoman, sold a third of the town in 1410 to Adelberg Abbey, which already controlled nearby properties donated to it by the County of Württemberg. The other two thirds of the town were inherited by the House of Liebenstein [de]. As a result of the Protestant Reformation in the Holy Roman Empire, Adelberg Abbey was secularized and its holdings seized by the Duchy of Württemberg, which purchased the Liebenstein's portion of Schlat in 1789. The portions of Schlat were until 1807 divided between a district based out of the old abbey and Oberamt Göppingen [de]. The Oberamt was reorganized as a Landkreis in 1938 and Schlat remained in its jurisdiction. The town grew after World War II to its east and south.[3]
Schlat's coat of arms displays a sheep, in red, grazing below the branch of an apple tree, in green with four leaves and one red apple, upon a field of yellow. The images on the municipal on the blazon refer to Schlat's history of agriculture, especially husbandry. The coat of arms was awarded along with a municipal flag by the Federal Ministry of the Interior on 30 June 1959.[3]