Recent results from lattice QCD simulations provide a realistic pictur
e, based upon first principles, of Upsilon physics. We combine these r
esults with the experimentally measured mass of the Upsilon meson to o
btain an accurate and reliable value for the b quark's pole mass. We u
se two different methods, each of which yields a mass consistent with
M(b) = 5.0(2) GeV. This corresponds to a bare mass of M(b)(0) = 4.0(1)
GeV in our lattice theory and an MS mass of M(b)(MS)(M(b)) = 4.0(1) G
eV (MS denotes the modified minimal-subtraction scheme). We discuss th
e implications of this result for the c-quark mass.