We document a unique DNA recombination between polyomavirus JC (JC virus JCV) and Epstein-Barr virus (EBV) at sequences of JCV found infecting the brain. Archetype JCV is present in bone marrow and uroepithelial cells of most adults. During immunosuppression, JCV can infect the brain, causing a demyelinating disease, progressive multifocal leukoencephalopathy. Rearrangements in the archetype noncoding control region are necessary for neurovirulence. Two NCCR deletions and a duplication occur at sequences of homology with EBV, present latently in B cells, which may be coinfected with both viruses. Recombination between JCV and EBV occurs in B lymphoblasts at a sequence essential for JCV neurovirulence and in cerebrospinal fluid of immunosuppressed patients with multiple sclerosis, those susceptible to progressive multifocal leukoencephalopathy. Interviral recombination is a model for conferring advantages on JCV in the brain. It can alter a critical noncoding control region sequence and potentially facilitate use of EBV DNA abilities to transfer among different cell types.