Antibody responses to SARS-CoV-2 in serum and CSF from 16 COVID-19 patients with neurological symptoms were assessed using two independent methods. IgG specific for the virus spike protein was found in 81% of cases in serum and in 56% in CSF. SARS-CoV-2 IgG in CSF was observed in two cases with negative serology. Levels of IgG in both serum and CSF were associated with disease severity (p<0.05). All patients with elevated markers of CNS damage in CSF also had CSF antibodies (p=0.002), and CSF antibodies had the highest predictive value for neuronal damage markers of all tested clinical variables