Based on coordinate transformation, we extend the theory of unidirectional surface mode at a plane interface to a more general case of arbitrary boundary. We provide direct simulations to prove the validity of extension. Because it depends only on the signs of off-diagonal elements in the tensor of permittivity (for TM mode) or permeability (for TE mode), the unidirectionality is robust in a wide range of frequency. Moreover, this kind of surface mode is fairly robust with smoothly changing surface. These properties are very useful to design compact nonreciprocal component with wide range of operating frequency in various cases, such as broadband isolators and circulators.