As a potentially life-threatening disease with no currently available vaccine or effective therapy, COVID-19 has triggered an unprecedented turmoil in socioeconomic life worldwide. In addition to physical signs from the respiratory and many other systems, it has had a major impact on the nervous system and on mental health. Thus, a variety of neuropsychiatric manifestations, such as olfactory and gustatory disorders, encephalopathy, stroke and neuromuscular complications, neuroses and psychoses, have been increasingly reported in patients with COVID-19 infection. Also, the psychosocial impact of the pandemic with indirect important neuropsychiatric manifestations in non-infected individuals in the general public and the health care group has been widely acknowledged. All these issues are herein reviewed.