We assessed the relationship between microstructural measures derived from diffusion tensor imaging (DTI) and shear moduli estimated from magnetic resonance elastography (MRE). We also compared the predictive power of fractional anisotropy, storage and loss moduli, estimation using nonlinear inversion (NLI) to model age in humans. Our results suggest some statistical relationship between MRE measures, particularly the loss modulus, and microstructure (FA, RD). The decrease in FA with age is accompanied by an increase in viscosity, especially in association fibers (Superior Longitudinal Fasciculus). The regional MRE measure provides more predictive power than the best regional FA.