A simple model of the brane-world cosmology has been proposed, which is cha
racterized by four parameters, namely, the bulk cosmological constant, the
spatial curvature of the universe, the radiation strength arising from bulk
space-time and the breaking parameter of Z(2)-symmetry. The bulk space-tim
e is assumed to be locally static five-dimensional analogue of the Schwarzs
child-Anti-de Sitter space-time, and then the location of three-brane is de
termined by the metric junction. The resulting Friedmann equation recovers
the standard cosmology, and a new term arises if Z(2)-symmetry is not assum
ed, which behaves as a cosmological term in the early universe, next turns
to a negative curvature term, and finally damps rapidly.