Let Ω be a bounded domain in$C$^{$n$}. This paper deals with the study of the behavior of the pluricomplex Green function$g$_{Ω}($z, w$) when the pole$w$tends to a boundary point$w$_{0}of Ω. We find conditions on Ω which ensure that lim_{$w→wo$}$g$_{$Ω$}$(z, w)$=0, uniformly with respect to$z$on compact subsets of $$\bar \Omega \backslash \{ w_0 \} $$ . Our main result is Theorem 5; it gives a sufficient condition for the above property to hold, formulated in terms of the existence of a plurisubharmonic peak function for Ω at$w$_{0}which satisfies a certain growth condition.