This paper has examined the effect of economic complexity on poverty in developing countries. The analysis has used a sample of 84 countries over the period 1980-2017. Results indicate that greater economic complexity results in lower poverty headcount rates. This is particularly the case for countries that enjoy higher economic growth rates, lower levels of income inequality and lower degrees of economic growth volatility, including due to lower sizes of export demand and financial flows shocks. These findings have important policy implications for developing countries that are exploring ways and means to recover from the current COVID-19 pandemic crisis, and prepare for future crises.