Abstract: There has been much work done about the volume renormalization of conformally compact Einstein manifolds and its relation to the conformal structure on the boundary at infinity. We here consider the analogous concept for strictly pseudoconvex domains in a complex manifold. For such domains, we can formulate the volume expansion with respect to the complete Einstein-Kaehler metric or the Bergman volume form. Then we show that some coefficients of the expansion have intimate relation to the geometry of the boundary as a CR manifold.