  We discuss the computation of holographic entanglement entropy for interface
conformal field theories. The fact that globally well defined Fefferman-Graham
coordinates are difficult to construct makes the regularization of the
holographic theory challenging. We introduce a simple new cut-off procedure,
which we call "double cut-off" regularization. We test the new cut-off
procedure by comparing the results for holographic entanglement entropies using
other cut-off procedures and find agreement. We also study three dimensional
conformal field theories with a two dimensional interface. In that case the
dual bulk geometry is constructed using warped geometry with an $AdS_3$ factor.
We define an effective central charge to the interface through the
Brown-Henneaux formula for the $AdS_3$ factor. We investigate two concrete
examples, showing that the same effective central charge appears in the
computation of entanglement entropy and governs the conformal anomaly.
