Abstract: The invention relates to an antenna structure D with at least two resonance frequency bands. It comprises a first antenna element (P2; P3) which is preferably a straight conductor, and a second antenna element (HX3; HX4) which is preferably a conductor wound into a cylindrical coil, the antenna elements having different resonance frequencies. A rod element (P2; P3) is partly inside a helical element (HX3; HX4) and they can comprise the same feed point (A4) or separate feed points (A5; A6). The antenna can comprise a third antenna element (HX5) which is preferably a conductor wound into a cylindrical coil comprising a different resonance frequency from the other two antenna elements. The antenna according to the invention is well-adapted to be used in a mobile phone operating in at least two cellular telephone systems using different frequencies.