In this paper, we introduced Samarandache-2-algebraic structure of Soft Neutrosophic Near-ring namely Smarandache-Soft Neutrosophic Near-ring. A Samarandache-2-algebraic structure on a set N means a weak algebraic structure S 1 on N such that there exist a proper subset M of N, Which is embedded with a stronger algebraic structure S 2 , stronger algebraic structure means satisfying more axioms, that is S 1 << S 2 ,by proper subset one can understand a subset different from the empty set, from

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... e unit element if any , from the Whole set. We define Smarandache-Soft Neutrosophic Near-ring and obtain the some of its characterization through bi-ideals.