  The probability distribution for the number of top to bottom spanning
clusters in Directed percolation in two and three dimensions appears to be
universal and is of the form $P(n) \sim \exp(-\alpha n^2)$. We argue that
$\alpha$ is a new critical quantity vanishing at the upper critical dimension.
The probability distribution of the individual masses of the spanning clusters
is found to have a Pearson distribution with a lower cutoff. Various properties
of the clusters are reported.
