The invention relates to an antenna device having an antenna structure and an antenna feed line feeding the antenna structure, and a three-dimensional shape structure having at least one portion on which the antenna structure is arranged. The antenna device additionally has a substrate extending in a substrate plane, the substrate having a first side and an opposite second side, and the three-dimensional shape structure being arranged on the first side of the substrate. The at least one portion of the three-dimensional shape structure protrudes from the substrate plane and is spaced apart from the substrate in a contactless manner so that the antenna structure arranged thereon is also spaced apart from the substrate spatially and in a contactless manner.