The singel-crystal elastic moduli of stishovite have been determined experimentally from measured Brillouin scattering spectra. They are C11 = 4.53¿0.04, C33 = 7.76¿0.05;C44 = 2.52¿0.02, C66 = 3.02¿0.03; and C12 = 2.11¿0.05, C13 = 2.03¿0.04 in units of mbar. The estimated aggregate (Voigt-Reuss-Hill) adiabatic moduli are K = 3.16¿0.04 and μ = 2.20¿.03 mbar. Previous values of the isothermal bulk modulus, obtained from hydrostatic compression experiments, are in agreement with the Reuss value of KT = 3.06¿.04 mbar (as corrected to isothermal conditions). Taken together, these results suggest that the pressure derivative of the bulk modulus for stishovite is low relative to other rutile structure oxides.