Summary: We investigate the asymptotic behavior of positive ground state solutions as \(\alpha\to\infty\) for the following Hénon type system
\[ -\Delta u=\frac{2p}{p+q}|x|^\alpha u^{p-1}v^q,\quad -\Delta v=\frac{2q}{p+q}|x|^\alpha u^pv^{q-1},\quad \text{in } B_1(0) \]
with zero boundary condition, where \(B_1(0)\subset\mathbb R^N\) \((N\geq3)\) is the unit ball centered at the origin, \(p,q>1\), \(p+q<2^*=2N/(N-2)\). We show that both components of the ground solution pair \((u, v)\) concentrate on the same point on the boundary \(\partial B_1(0)\) as \(\alpha\to\infty\).