A system and a method for the connection of wire rods allow to minimize the discontinuity in the finishing process of the wire rods from two coils, the system comprising: at least one gripper device (5) apt to be fixed to a final section (1, 2) of the wire rod, comprising a channel (9) substantially coaxial to said section (1, 2), through which the wire rod end (3, 4) can be reached; a bushing (10) apt to be introduced into said channel (9), comprising a guide for drilling and tapping devices to allow the working of said final end (2, 4); and a joint (13), apt to carry out a screw connection with said end (3, 4) after the working of said drilling and tapping devices.