We study the independent domination bondage number in simple graphs. An independent dominating set S of a graph G is characterized by two conditions: its vertices are not adjacent to each other, and all vertices outside S are adjacent to at least one vertex within S. The independent domination number, γi (G), represents the smallest possible size of such a set. Our focus is on the independent domination bondage number, which quantifies the minimum edge removals needed to alter γi (G). This research establishes several bounds for this parameter and computes its value for specific graph operations involving two graphs.