A magazine structure of a wire staple press is disclosed, which involves an arrangement that a staple receiving compartment of a magazine cartridge forms therein a clamp passage, a first nail passage, and a second nail passage respectively corresponding to a clamp part, a U-shaped nail part, or a T-shaped nail part of a wire staple and the arrangement allows the staple magazine to be used with wire staples having a U-shaped nail part or a T-shaped nail part thereby improving the applicability of the wire staple press and allowing staples of different types to be fed in a stable manner to prevent the staples from curing during a striking operation and thus improving effectiveness and efficiency of operation and the utilization thereof.