The invention provides a secondary reflection light gathering and heat collecting device with a compound curved surface, which relates to a solar slot type light gathering and heat collecting device and comprises a heat collecting tube (1), a plane primary reflector (2), a refracting plane secondary reflector (3), a compound circular arc primary reflector (4), a compound paraboloid secondary reflector (5) and a supporting frame (6), wherein the heat collecting tube (1) comprises two parallel heat collecting tubes and is positioned in the compound paraboloid secondary reflector (5), and the supporting frame (6) is positioned below the compound circular arc primary reflector (4) and used for fixing the compound circular arc primary reflector (4). By adopting the design of combination of onesupporting frame and two heat collecting tubes, the cost and the height of the heat collecting device can be remarkably reduced; by adopting the compound paraboloid secondary reflector, the requirement on the tracking accuracy is reduced; by adopting the compound circular arc primary reflector, the degree of freedom of the design is increased; and by adopting the design of combination of the planereflector and the refracting plane, the utilization ratio of the light energy is improved.