Monoclonal antibody (mAb) therapy has been previously exploited for viral infections, such as respiratory syncytial virus pneumonia and Ebolavirus disease. In the ongoing COVID-19 pandemic, early signals of efficacy from convalescent plasma therapy have encouraged research and development of anti-SARS-CoV-2 mAbs. While many candidates are in preclinical development, we focus here on anti-SARS-CoV-2 neutralizing mAbs (or mAb cocktails) that represent the late-stage clinical pipeline, i.e., those currently in Phase 2 or Phase 3 clinical trials. We describe the structure, mechanism of action, and ongoing trials for VIR-7831, LY-CoV555, LY-CoV016, BGB-DXP593, REGN-COV2, and CT-P59. We speculate also on the next generation of these mAbs.