New Results on Hard Diffraction from HERA and the Tevatron

This contribution summarises selected recent measurements of hard diffractive scattering processes and their interpretation in the framework of perturbative QCD. Two themes are pursued in particular: first the extraction of diffractive parton densities at HERA and their application at HERA and the Tevatron; second the search for central exclusive diffractive production at the Tevatron.