Jagdgeschwader 1 may refer to one of two German military units: Jagdgeschwader 1 (World War I), a unit of the Luftstreitkräfte commanded by Manfred von Richthofen (the Red Baron), also known as Jagdgeschwader 1 Flying Circus Jagdgeschwader 1 (World War II), also known as Jagdgeschwader 1 Oesau after its Wing Commander, Walter Oesau