A mounting structure for satellite dish antennae and method and means for anchoring the structure to the roof or sidewall of a typical residential building, such as a house, are disclosed. The mounting structure includes a mast for supporting the dish antennae. The anchoring means includes a bar having a back portion and sides which define an open-ended channel. The sides of the bar are further provided with integral adjoining lips which extend the length of the bar. Also included in the assembly is a clamp provided with holes through which bolt means may be inserted to tighten and secure the clamp about the mounting structure's mast to the bar's lips. When so tightened, the clamp tightly engages the external surface of the mast to prevent it from torsional movement relative to the clamp.