A variable-sweep wing VTOL (vertical take-off and landing) aerial vehicle with distributed propulsion adapted for VTOL flight and horizontal flight includes a fuselage, a pair of symmetrical swiveling canards extending outward from forward portion of the fuselage, a pair of first symmetrical wings extending outward from the upper-rear portion of the fuselage and a pair of second symmetrical wings extending outward from the lower-rear portion of the fuselage. The first and second wings are spaced apart longitudinally and vertically. The pylon joins the first wing and second wing at the tip to form the box-wing. The wings can transition between VTOL mode or airplane mode. The wings are mounted with rotors for propulsion. Moreover, at the trailing edge of the wings, the blown flap work as blown lift system for both VTOL flight or STOL flight. Finally, the fuselage mounted pusher rotor provides propulsive thrust for horizontal flight.