The multiband behavior of the fractal Kaiser-Koch array factor is described in this paper. The fractal arrayfactors presented keep the same shape at several bands because they are constructed from self-similar curves. A Kaiser window as a generating pulse function is proposed for the design of Koch-array factors. Kaiser windows are characterized by having the lowest side lobes of all windows in the transformed domain. The result of applying such a technique mould result in an array current distribution having lower side lobes, with a reduced auto size after setting a threshold beyond which the elements are eliminated.