Oral title: The hard X-ray view of local Compton-Thick AGN Oral abstract: The Nuclear Spectroscopic Telescope Array (NuSTAR) is the first orbiting telescope to focus high energy X-ray light above 10 keV. The unprecedented spectral quality in the 3-80 keV band has provided unique information about the circumnuclear reflecting environment of AGN. I will present and discuss results from the NuSTAR observations of nearby Compton-thick AGN and from the 2017/2018 monitoring of NGC 1068.