A vertical take-off and landing flying-wing aircraft has a pair of thrust-vectoring propulsion units mounted fore and aft of the aircraft pitch axis on strakes at opposite extremities of the wing-structure, with the fore unit below, and the aft unit above, the wing-structure. The propulsion units are pivoted to the strakes, either directly or via arms, for individual angular displacement for thrust-vectored maneuvering of the aircraft in yaw, pitch and roll and for hover and forward and backward flight. When arms are employed, the arms of fore and aft propulsion units are intercoupled via chain drives or linkages. The wing-structure may have fins, slats and flaps and other aerodynamic control-surfaces, and enlarged strakes may incorporate rudder surfaces. Only one propulsion unit may be mounted at each extremity and additional fan units may be used.