In the presence of non-minimal gravitational coupling xi H dagger HR. between the standard model (SM) Higgs doublet H and the curvature scalar R, the effective ultraviolet cutoff scale is given by Lambda approximate to mP/xi, where m(P) is the reduced Planck mass, and xi greater than or similar to 1 is a dimensionless coupling constant. In type I and type III seesaw extended SM, which can naturally explain the observed solar and atmospheric neutrino oscillations, we investigate the implications of this non-minimal gravitational coupling for the SM Higgs boson mass bounds based on vacuum stability and perturbativity arguments. A lower bound on the Higgs boson mass close to 120 GeV is realized with type III seesaw and xi similar to 10-10(3). (C) 2010 Elsevier B.V. All rights reserved.