The invention discloses a shaft furnace-electric arc furnace direct reduced iron continuous hot-feeding device. The shaft furnace-electric arc furnace direct reduced iron continuous hot-feeding device comprises a shaft furnace discharge device, an electric arc furnace, a buffer weighing warehouse arranged at an outlet of the shaft furnace discharge device, and a small-dip angle conveying device which is arranged between an outlet of the buffer weighing warehouse and an inlet of the electric arc furnace and is used for conveying a material. The small-dip angle conveying device comprises a feeder, a small-dip angle conveying pipe, a movable elephant trunk and a fixed elephant trunk. The feeder and the small-dip angle conveying pipe are provided respectively with vibrating devices. The shaft furnace-electric arc furnace direct reduced iron continuous hot-feeding device overcomes defects of the existing device, reduces shaft furnace height, device production and maintenance costs, and a one-time investment, enlarges a shaft furnace-electric arc furnace distance range, and has a simple, compact, safe and reliable structure. The invention also discloses a control method of shaft furnace-electric arc furnace direct reduced iron continuous hot-feeding. The method utilizes a sensor and a PLC controller to realize real-time monitoring and parameter adjustment, can be operated flexibly, has high safety and is suitable for continuous production.