A single crystal membrane of BaxSr(1-x)TiO3 (BST) has been fabricated for the first time using molecular beam epitaxy. The membrane typically has a thickness of 200 nm to 500 nm and the thickness may be controlled to within 1%. It may be fabricated on a sapphire wafer carrier from which it may subsequently be detached. The smoothness of the membrane has an RMS of less than 1 nm. This membrane is very promising for the next generation of RF filters.