Diffractive and exclusive measurements at CDF

Experimental results from the CDF experiment at the Tevatron in $p\bar{p}$ collisions at $\sqrt{s}$=1.96 TeV are presented on the diffractive structure function at different values of the exchanged momentum transfer squared in the range $0<Q^2<10,000$ GeV$^2$, on the four-momentum transfer $|t|$ distribution in the region $0<|t|<1$ GeV$^2$ for both soft and hard diffractive events up to $Q^2\approx 4,500$ GeV$^2$, and on the first experimental evidence of exclusive production in both dijet and diphoton events. A novel technique to align the Roman Pot detectors is also presented.