This paper aims to investigate the internally disjoint paths in Q_{n,2}. For this purpose, the structural natures of Q_{n, k}(1 ≤ k ≤ n) are investigated in detail. The properties related to the partition of enhanced hypercube Q_{n,k}. Based on the results, it has been found that for any two distinct vertices x and y there exists n+1 internally disjoint paths connecting x and y, which traverses all vertices of Q_{n,2}. This paper aims to investigate the internally disjoint paths in Q_{n,2}. For this purpose, the structural natures of Q_{n,k}(1 ≤ k ≤ n) are investigated in detail. The properties related to the partition of enhanced hypercube Q_{n,k}. Based on the results, it has been found that for any two distinct vertices x and y there exists n + 1 internally disjoint paths connecting x and y, which traverses all vertices of Q_{n,2}.
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