  We report the degree of order of twenty-two Jackson Pollock's paintings using
\emph{Hausdorff-Besicovitch fractal dimension}. Through the maximum value of
each multi-fractal spectrum, the artworks are classify by the year in which
they were painted. It has been reported that Pollock's paintings are fractal
and it increased on his latest works. However our results show that fractal
dimension of the paintings are on a range of fractal dimension with values
close to two. We identify this behavior as a fractal-order transition. Based on
the study of disorder-order transition in physical systems, we interpreted the
fractal-order transition through its dark paint strokes in Pollocks' paintings,
as structured lines following a power law measured by fractal dimension. We
obtain self-similarity in some specific Pollock's paintings, that reveal an
important dependence on the scale of observation. We also characterize by its
fractal spectrum, the called \emph{Teri's Find}. We obtained similar spectrums
between \emph{Teri's Find} and \emph{Number 5} from Pollock, suggesting that
fractal dimension cannot be completely rejected as a quantitative parameter to
authenticate this kind of artworks.
