The invention discloses a flapping-wing air vehicle capable of hovering as well as a flight control method thereof. The flapping-wing air vehicle capable of hovering comprises a vehicle body and four single-flapping-wing mechanisms, wherein the four single-flapping-wing mechanisms are mounted on two sides of the vehicle body in a left-and right and front-and-back symmetrical manner, each single-flapping-wing mechanism comprises a swinging support, a flapping wing, an actuator, an eccentric bent rod and limit rods, the swinging supports are connected with the vehicle body through hinges, the included angle formed by each hinge shaft and the vertical direction of the plane where the vehicle body is located is a small acute angle, the flapping wings are fixedly connected with the swinging supports, the actuators are fixedly mounted on the vehicle body, every two limit rods are fixedly mounted on each swinging support, one end of each eccentric bent rod is fixedly connected with an output end of each actuator, the other end of each eccentric bent rod is bent, each bent section is inserted between every two limit rods, and rotation of output shafts of the actuators is converted into swinging of the swinging supports by the aid of eccentric rotation. The air vehicle is small in size, light in weight and capable of hovering stably during flight, the flapping wings can produce the larger lifting force and provide the enough lateral force, various maneuvering actions can be realized conveniently, flapping-wing swinging mechanisms are simple and reliable, and the actuating efficiency is high.