本文证明了至少有一对非零对称元但非对称的ｎ（＞５）阶本原矩阵所成的类的指数集是：（１）迹非零时，无论ｎ（＞５）是奇数还是偶数，都有指数集．（２）迹为零时，（ｉ）若ｎ（＞５）是奇数，则指数集（ｉｉ）若ｎ（＞５）是偶数，则指数集．

In this paper we completely determine the index set for the class of n×n (n>5)non-symmetric primitive matrices with at least one pair of nonzero symmetry entries. The main results are the following:(1)trace is nonzero,regardless of n(>5) is odd or even,we always have (2)trace is zero,(i)if n(>5) is odd,then (ii) if n(>5) is even) then