This paper investigates the properties of probe fed cavitybacked fractal aperture antennas. The problem is formulated using the finite element-boundary integral (FE-BI) method in which the field inside the cavity is formulated using the finite element method, and the mesh is truncated at cavity aperture surface using the boundary integral method. Several dual-band cavity-backed fractal aperture antennas based on Sierpinski gasket, Sierpinski carpet, plus shape fractal and Minkowski fractal are investigated. The numerical results obtained from the FE-BI code have been validated with simulations on HFSS.