  Using pluricomplex Green functions we introduce a compactification of a
complex manifold $M$ invariant with respect to biholomorphisms similar to the
Martin compactification in the potential theory. For this we show the existence
of a norming volume form $V$ on $M$ such that all negative plurisubharmonic
functions on $M$ are in $L^1(M,V)$. Moreover, the set of such functions with
the norm not exceeding 1 is compact. Identifying a point $w\in M$ with the
normalized pluricomplex Green function with pole at $w$ we get an imbedding of
$M$ into a compact set and the closure of $M$ in this set is the pluripotential
compactification.
