The present invention discloses an offset feed satellite television antenna, including a metamaterial panel that is set behind a feed, where the metamaterial panel includes a core layer and a reflective panel, the core layer includes at least one core layer sheet layer, the core layer sheet layer includes a sheet-shaped substrate and a plurality of artificial microstructures that are set on the substrate, the core layer sheet layer is divisible into a plurality of strip regions according to refractive index profile, refractive indexes at a same radius that uses a specific point as a circle center in the plurality of strip regions are the same and the refractive index decreases gradually with increase of the radius in each strip region, and, among two adjacent strip regions, a minimum value of the refractive index of a strip region located at an inner side is less than a maximum value of the refractive index of a strip region located at an outer side. According to the offset feed satellite television antenna of the present invention, the sheet-shaped metamaterial panel replaces a traditional paraboloidal antenna, manufacturing and processing are easier, and costs are lower. In addition, the present invention further provides a satellite television receiving system that has the offset feed satellite television antenna.