Summary: In this paper, we study the notion of ideal-based zero-divisor graph structure of po-\(\Gamma\)-semigroup \(M \) with respect to reflexive ideal \(I\) of \(M,\) denoted by \(\Gamma_{I}(M),\) whose vertices are the set \(\{x\in M\setminus I: \) there exists \(y\in M\setminus I \) such that \(x\Gamma y\subseteq I \}\) with distinct vertices \(x\) and \(y\) are adjacent if and only if \(x\Gamma y\subseteq I.\) We investigate the interplay between the po-\(\Gamma\)-semigroups properties of \(M \) and the graph-theoretic properties of \(\Gamma_{I}(M).\)