The present application discloses a rechargeable lithium battery apparatus, comprising a battery cell in a cylindrical shape, a positive electrode of the battery cell has a protection circuit board arranged, wherein, between the positive electrode of the battery cell in the cylindrical shape and a positive electrode of the protection circuit board, there is a metal screw connection structure arranged, acting as the positive electrode of the protection circuit board, connecting electrically to the positive electrode of the battery cell. The rechargeable lithium battery apparatus of the present application, due to adopting a metal screw connection structure arranged on a circuit board at the positive electrode of the battery, corresponding to the positive electrode of the battery cell, achieves a positive electrode cap and a solid connection between the protection circuit board and the battery cell, forming a brand new lithium battery apparatus.