Background Vertical transmission of SARS-CoV-2 has been reported but appears uncommon. Objectives This study systematically reviewed the evidence on vertical transmission of SARS-CoV-2 from pregnant women to their neonates. Search strategy Literature searches in WHO Covid-19 Database, LitCovid, medRxiv, and Google Scholar for SARS-CoV-2 using keywords and associated synonyms, search date to 20 December 2020; no language restrictions. Selection criteria Studies of any design reporting transmission. Data collection and analysis Two reviewers independently assessed article eligibility and extracted data. Results were reported descriptively; no meta-analyses were possible. Main results 106 studies were included: 40 reviews and 66 primary studies, most conducted in hospitals. 32 case reports were assessed as high risk of bias, due to the study design; across the 34 remaining primary studies, risk of bias was low to moderate. Sixteen case reports described vertical transmission. In cohort studies and case series, 65/2391 (2.7%) neonates born to mothers with a COVID-19 diagnosis tested positive for SARS-CoV-2 within 24 hours of birth; the proportion of positive neonates ranged from 0% to 22%. Twenty studies reported no vertical transmission. Maternal symptomatology and mode of delivery were not correlated with vertical transmission. 7/25 studies of placental tissue identified SARS-CoV-2; vertical transmission was infrequent. No study reported the results of viral culture to detect SARS-CoV-2. Conclusions These findings indicate that vertical transmission is possible, but not frequent. Further high-quality studies are needed to understand vertical transmission. Funding World Health Organization: WHO registration No 2020/1077093.