An enclosure system for antennas including satellite dish antennas and single frequency, narrowband and broadband ones. The system includes at least upper and lower housing portions mounted to each other for rotational movement about a first axis inclined to the vertical. The portions have respective, peripheral sections extending about the first axis and substantially perpendicular to the inclined, first axis. The satellite antenna dish is mounted to the upper housing portion to extend substantially about a second axis substantially intersecting the first axis at an inclined angle. The upper housing portion can be rotated about the inclined, first axis relative to the lower housing portion wherein the second axis of the dish essentially forms or defines a cone about the first axis to position the plane of the dish rim portion in any of a plurality of orientations essentially between a substantially horizontal one and a substantially vertical one.