ANP32 proteins have been implicated in supporting influenza virus replication, but most of the work to date has focused on the ability of avian Anp32 proteins to overcome restriction of avian influenza polymerases in human cells. Using a CRISPR approach we show that human ANP32A and ANP32B are functionally redundant but essential host factors for mammalian-adapted influenza A virus (IAV) and influenza B virus (IBV) replication in human cells. When both proteins are absent from human cells, influenza polymerases are unable to replicate the viral genome, and infectious virus cannot propagate. Provision of exogenous ANP32A or –B recovers polymerase activity and virus growth. We demonstrate that this redundancy is absent in the murine Anp32 orthologues: murine Anp32A is incapable of recovering IAV polymerase activity, while murine Anp32B can. Intriguingly, IBV polymerase is able to use murine Anp32A. We show using a domain swap and point mutations that the LRR 5 region comprises an important functional domain for mammalian ANP32 proteins. Our approach has identified a pair of essential host factors for influenza virus replication and can be harnessed to inform future interventions.