Solution-processed hybrid solar cells, a blend of conjugated polymers and semiconducting nanocrystals, are a promising candidate for next-generation energy-conversion devices. The renaissance of this field in recent years has yielded a much deeper understanding of optoelectronic interactions in organicinorganic hybrid systems. In this article, we review the state-of-the-art progress in hybrid bulk heterojunction solar cells, covering new materials design, interfacial interaction, and processing control. Furthermore, critical challenges that determine photovoltaic performance and prospects for future directions are discussed. Broader context Global warming and fossil fuel depletion are driving humans to explore green and renewable energy sources. Solution-processed hybrid photovoltaics, a blend of conjugated polymers and semiconducting nanocrystals, are a promising candidate to convert sunlight into electricity. Hybrid photovoltaics combine the unique advantages of organic and inorganic semiconductors, i.e., cost-effective manufacturing processes, tunable absorption regimes, high charge carrier mobility, and high dielectric constant. The study of hybrid photovoltaics is multidisciplinary, covering organic and inorganic semiconducting materials, surface ligand design, device structure design, and efficiency optimization. This review article gives an in-depth understanding of photovoltaic processes in the operation of hybrid photovoltaics, and relates primary studies with these processes. Current challenges of hybrid photovoltaics are also discussed, and directions for further research are proposed.