We show a new class of embedding solutions of D5 brane, which wraps on S 5 in the AdS5 × S 5 space-time and contains fundamental strings as U(1) flux to form a baryon vertex. The new solution given here is different from the baryon vertex since it consists of two north (or south) poles of S 5 as cusps, which are put on different points in our three dimensional space. This implies that the same magnitude of electric displacement exists at each cusp, but their orientation of the U(1) flux must be opposite due to the flux number conservation. This configuration is therefore regarded as a D5-D5 bound state, and we propose this as the vertex of a baryonium state, which is made of a baryon and an anti-baryon. By attaching quarks and anti-quarks to the two cusps of this vertex, it is possible to construct a baryonium
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