A stable core-shell structure Au12@Au30 has been investigated by first-principles calculations. The Au12@Au30 with Ih symmetry is composed of an icosahedron core and an icosidodecahedron shell. There is no imaginary frequency in the normal vibrational modes. And combining molecular dynamics NVT simulations the dynamic stability of the structure is proved. The orbital bonding analysis shows that there are multi-center bonds, twenty6-centerσ bonds and one12-centerσ bond in this structure, which are the potential reasons for the structural stability. Both the PDOS and the Hirshfeld charge population analysis show that this system is non-magnetic. The HOMO frontier molecular orbital reveals obvious s-d hybridization characteristics. In this core-shell nanostructure, there are a large number of 1-center valence lone electron pairs with the characteristics of d-like orbitals. This proposed structure Au12@Au30 makes the size of core-shell clusters more enriched and may be used in catalysis and medicine fields.