The invention relates to the field of radomes, particularly to a low-dielectric-constant glass fiber reinforced plastic radome and a production process thereof. The low-dielectric-constant glass fiberreinforced plastic radome comprises a mounting base mounted on a wall, a protective cover arranged outside the mounting base in an openable and closable covering mode, and an antenna holding pole located in a cavity defined by the mounting base and the protective cover. The glass fiber reinforced plastic base layer comprises in parts by mass: 50-80 parts of unsaturated polyester resin, 5-20 partsof glass fibers, 2-15 parts of carbon nanotubes, 0.5-4 parts of 1, 3-butanediol, 5-30 parts of a heat-resistant modifier, 5-10 parts of a low shrinkage agent, 1-5 parts of a release agent, 5-15 partsof a coupling agent, 1-5 parts of fluorinated graphene, 1-5 parts of an initiator and 1-5 parts of a thickener. The low-dielectric-constant glass fiber reinforced plastic radome has the advantages ofa small dielectric constant, the good wave permeability, the high mechanical strength and the long service life.