Cerebral venous thrombosis associated to acute inflammatory axonal polyneuropathy during infection with SARS-CoV-2 (coronavirus-2) is unusual. We describe the case of a 66-year-old patient with typical clinical and electrophysiological criteria of acute axonal motor neuropathy, who was positive for SARS-CoV-2. The symptoms started with fever associated with respiratory symptoms, and complicated one week later by headaches, and general weakness. The examination showed bilateral peripheral facial palsy, predominantly proximal tetraparesis, and areflexia with tingling of limbs were found. The whole was concomitant with the diagnosis of an acute polyradiculoneuropathy. Electrophysiologic evaluation confirmed the diagnosis. Cerebrospinal fluid examination showed albuminocytologic dissociation, and brain imaging revealed sigmoid sinus thrombophlebitis. Neurological manifestations improved during treatment with plasma exchange and anticoagulants. Our case draws attention to the occurrence of cerebral venous thrombosis and Guillain-Barré syndrome (GBS) in patients with COVID-19. The neuro-inflammation induced by the systemic immune response to infection, can lead to neurological manifestations. Further studies should be conducted on the full clinical spectrum of patients with COVID-19 with neurological symptoms.