  We report measurements of hard diffractive processes performed by the CDF
collaboration in proton-antiproton collisions at the Fermilab Tevatron collider
at $\sqrt{s}$=1960 GeV. The characteristics of the diffractive structure
function from diffractive dijet production studies are presented. The results
of exclusive dijet production in double pomeron exchange are discussed in the
context of exclusive Higgs production at the LHC.
