AbstractLetDbe a bounded pseudoconvex domain in ℂnand ζ ∈ D. ByKDandBDwe denote the Bergman kernel and metric ofD, respectively. Given a ballB=B(ζ,R), we study the behavior of the ratioKD/KD∩B(w) whenw∈D∩Btends towards ζ. It is well-known, that it remains bounded from above and below by a positive constant. We show, that the ratio tends to 1, aswtends to ζ, under an additional assumption on the pluricomplex Green functionD(·,w) ofDwith pole atw, namely that the diameter of the sublevel setsAw:={z∈D|D(z, w) < −1} tends to zero, asw→ ζ. A similar result is obtained also for the Bergman metric. In this case we also show that the extremal function associated to the Bergman kernel has the concentration of mass property introduced in [DiOh1], where the question was discussed how to recognize a weight function from the associated Bergman space. The hypothesis concerning the setAwis satisfied for example, if the domain is regular in the sense of Diederich-Fornæss, ([DiFo2]).