PROBLEM TO BE SOLVED : To provide a method of superconductive-connecting superconductive wires that secures a practical superconductive current even in a magnetic field of about 0.5T, enabling a magnet of a superconductive film of an oxide to be driven in the permanent current mode, and the magnet. SOLUTION : The connection method comprises the steps of preparing a primary molten metal or alloy except Pb alloyed with Ag having an alloyed melting point not exceeding 500 deg.C or Pb alloyed with Ag having a Pb content of 20 weight % or less and an alloyed melting point not exceeding 500 deg.C, dipping the end portion of the connecting wire in the primary molten metal or alloy to melt its sheath material composed of Ag or its alloy separated from the superconductive filament group of an oxide, alloying the metal, alloy or Pb alloy constituting the primary molten alloy with a Pb or its alloy to prepare a secondary molten alloy having a Pb content of 20 weight % or more and an alloyed melting point not exceeding 500 deg.C and showing superconduction property when being solidified, dipping the end portion of the connecting wire, and solidifying the secondary molten alloy to make a superconductive connection of the connecting wire.