A broadband omnidirectional antenna comprises a figure of revolution having an axis and two axially spaced coaxial elements with rolled radially outer edge portions and defining therebetween an antenna aperture. One element has a conically-shaped aperture-defining surface radially diverging from a plane aperture-defining surface on the other element extending perpendicular to the axis, the outer edge portions of both surfaces being curved away from each other and back toward the axis. This antenna operates over a 500 MHz to 7 GHz band with a VSWR of approximately 3:1. The invention also comprehends a method of forming the antenna elements in metallically coated molds with a fiberglass-resin mix.