  We suggest a class of two-dimensional lattice spin Hamiltonians describing
non-Abelian SU(2) chiral spin liquids - spin-analogues of fractional
non-Abelian quantum Hall states- with gapped bulk and gapless chiral edge
excitations described by the SU(2)$_n$ Wess-Zumino-Novikov-Witten conformal
field theory. The models are constructed from an array of a generalized
spin-$n/2$ ladders with multi-spin exchange interaction which are coupled by
isolated spins. Such models allow a controllable analytic treatment starting
from the one-dimensional limit and are characterized by a bulk gap and
non-Abelian SU(2)$_n$ gapless edge excitations.
