The invention provides a sun-tracking device with an external rotating angle and an internal rotating angle, belonging to the technical field of solar energy utilization and track. The invention is characterized in that: an inner gimbal rotating shaft is connected with the outer gimbal, the outer gimbal rotating shaft is connected with a bracket; the inner gimbal, the outer gimbal and a fixed bolster are connected with each other through a shafting forming an outer gimbal rolling shaft which can rotate as the external rotating angle, the inner gimbal can rotate as the internal rotating angle and the external rotating angle, moreover; a rotating half wheel and a rotating driving bracket are arranged on the inner gimbal and the outer gimbal respectively, controlling the tracking trajectory in a hemispheric spherical surface range. The invention has the advantages of simple structure, low cost, strong wind resistance, suitability for concentrating light, lighting, fixing sun and other kinds of tracking, and suitability for tracking control of optics and real-time programs.