The review presents the current understanding of the incidence and nature of neurological disorders in patients with the so-called long COVID syndrome. Symptoms, putative pathophysiological mechanisms, risk factors, search for methods of treatment and rehabilitation of patients using the patient's own hematopoietic cells are discussed. A search was carried out for scientific articles, including those published in peer-reviewed journals indexed in PubMed, Web of Science, Scopus and RSCI. The inclusion of stem cells (SC) in rehabilitation programs for patients with various injuries and diseases of the central nervous system (CNS) is a promising area of research. The mechanisms of CNS damage therapy based on the use of adult-type pluripotent stem cells, including CD34+, consist of many aspects. On the background of SC transplantation, damaged nerve cells and surrounding tissues, including neurons and glial cells, can be restored, which helps to ensure the integrity of the nerve conduction pathway and, thus, restore nerve function. SC therapy can suppress genes involved in inflammation and apoptosis, as well as activate genes with neuroprotective action, thereby protecting spinal neurons from secondary damage. This line of cell therapy can be used to treat long COVID syndrome.