  We describe an algorithm for the Rosenbluth Monte Carlo enumeration of
clusters and lattice animals. The method may also be used to calculate
associated properties such as moments or perimeter multiplicities of the
clusters. The new scheme is an extension of the Rosenbluth method for growing
polymer chains and is a simplification of a scheme reported earlier by one of
the authors. The algorithm may be used to estimate the number of distinct
lattice animals on any lattice topology. The method is validated against exact
and Monte Carlo enumerations for clusters up to size 50, on a two dimensional
square lattice and three dimensional simple cubic lattice. The method may be
readily adapted to yield Boltzmann weighted averages over clusters.
