The invention discloses a cage type hyperbola spring structure and a socket. The cage type hyperbola spring structure is applied to a jack terminal, the cage type hyperbola spring structure comprises multiple copper hyperbola column-shaped inclined springs and a machine tooled body, laser spot welding circular winding for the multiple copper hyperbola cylindrical inclined springs is carried out to acquire a sealed cylindrical annular structure, the cylindrical annular spring structure is inserted into the machine tooled body, the cylindrical inclined springs are guaranteed not to loose during plugging and unplugging of male / female terminals through inclined riveting necking at a thin wall pipe end portion, moreover, an assembling method can be further employed, an elastic C ring is mounted into the thin wall pipe end portion to realize compaction. According to the cage type hyperbola spring structure, positive pressure of the male / female terminals in a plugging process is guaranteed, stable contact under the condition of super heavy current can be guaranteed, each copper wire in a compression process generates elastic deformation not plastic deformation, service life of products is guaranteed, the spring declination time is prolonged, moreover, the cage type hyperbola spring structure can realize mutual overlapping in a compression process, the elastic deformation space of the springs can be reduced, and the relatively small volume can be guaranteed.