Fuentespalda (also known as Fontdespatla) is a municipality in the province of Teruel, in the Aragon region of Spain. It lies within the Matarraña/Matarranya comarca, a district in the eastern part of the province near the border with Catalonia.
The municipality is small and rural. According to the 2004 census (INE), Fuentespalda had a population of 368 inhabitants.