We investigate brane physics in a universe with an extra dimensional global monopole and negative bulk cosmological constant. To counter divergence of the graviton zero mode, we employ a physical cut-off. This cut-off yields 4D gravity on a brane at the monopole core; it also solves the hierarchy problem, by inducing the observed hierarchy between particle and Planck scales in the effective 4D universe. Our model has a discrete spectrum of massive Kaluza Klein modes, easily made consistent with 4D gravity on the brane. Extra-dimensional matter fields also induce 4D matter fields on the brane, with the same Kaluza Klein spectrum of excited states. ©2001 American Institute of Physics.