The approximate current distribution with height in vertical tower antennae of non-uniform cross section is calculated by assuming that the cross section is that of a cylinder whose diameter changes discontinuously. The field strength distribution in the vertical plane is then calculated for this current distribution and compared with field measurements of Ballantine. This is repeated using the experimentally determined current distribution of Gihring and Brown which results in a much closer check with Ballantine's measurements.The results were then used to calculate the field strength distribution in the vertical plane of an array comprising a 0.597λ vertical double-tapered tower as radiator, and a 0.250λ vertical tower of the self-supporting type as a fed reflector.