New Nubble Space Telescope observations of Cepheid variable stars in t
he nearby galaxy M96 give a distance to the host galaxy group, Leo I,
of 11.6 +/- 0.8 Mpc. This value, used in conjunction with several reli
able secondary indicators of relative distance, constrains the distanc
es to more remote galaxy clusters, and yields a value of the Hubble co
nstant (H-0 = 69 +/- 8 km s(-1) Mpc(-1)) that is independent of the ve
locity of the Leo I group itself.