A new type of sunflower-type cable dome with double struts, which has the characteristics of fewer number of inclined cables, convenient tensioning forming and effective prevention of ring slip, is proposed in this paper, Based on the nodal equilibrium equation, a recursive calculation formula for the internal force of the prestressed cable strut is given. 72 examples are given, including the number of lower chord cables, the ratio of sagittal span and the position of lower chord joint of the structures. It is verified that the formula for calculating the internal force of prestressed cables is exact solution. The analysis results show that the internal force of the cable strut increases exponentially from the inner ring to the periphery. When the position of the lower chord joint changes vertically or horizontally, the internal force of the prestressed cable strut is changed greatly. When the rise-span ratio is within the range of 0.1~0.2, the influence of it is less. It is shown that rise-span ratio and the opening in the middle of the structure are non-sensitive parameters, while the number of the lower chord cable and the position of the lower chord joint are sensitive parameters, and should be considered in the design of the structure. The proposed structure provides new forms and new concept for the selection, design and construction of cable dome.