  Non-Abelian BPS vortices in SO(N) x U(1) and USp(2N) x U(1) gauge theories
are constructed in maximally color-flavor locked vacua. We study in detail
their moduli and transformation properties under the exact symmetry of the
system. Our results generalize non-trivially those found earlier in
supersymmetric U(N) gauge theories. The structure of the moduli spaces turns
out in fact to be considerably richer here than what was found in the U(N)
theories. We find that vortices are generally of the semi-local type, with
power-like tails of profile functions.
