VERITAS is an array of four imaging atmospheric Cherenkov telescopes located in southern Arizona, and is now starting its fifth year of observations of the northern Sky at energies > 100 GeV. Observations of astrophysical objects in the TeV band are sensitive probes of highly energetic processes occurring in these sources. The majority of the active galaxies detected at TeV energies are blazars, sources where we view the jet nearly along its axis. TeV and multiwavelength observations of blazars help us to better understand the mechanisms of ultrarelativistic jet production by supermassive black holes, and constrain models of particle acceleration in blazar jets. Galactic sources at TeV energies include supernova remnants, pulsar wind nebulae, and binary systems, and TeV emission is a key diagnostic of highly energetic particles in these objects. This report presents recent results from VERITAS on Galactic and extragalactic sources.