The melting phenomena of very-thin metallic wires were considered for joining the wires. The center of thin Pt wire having the diameter of about 800 nm was locally melted by a direct current supply, and the Pt wire could be successfully cut at the predetermined point. A constant direct current was applied to the system wherein the free ends of two Pt wires were contacted each other, and the ends of the wires were successfully joined together. A parameter, which governed the melting phenomenon at the contacts of very-thin wires, was proposed.