Across African countries, terrorism has become a major challenge to socioeconomic development. While there are studies that have examined the influence of terrorism on economic growth, this study adds to the existing literature by investigating the role of military expenditure on the relationship between terrorism and economic growth in Africa. The study utilised a dataset comprising 24 African countries for which terrorism activities have increased substantially in the last decades. Utilising an instrumental variable Fixed Effects model with standard errors that account for cross-sectional dependence, serial correlation and group-wise heteroskedasticity, the study revealed that, (1) terrorism has a detrimental effect on economic growth in the selected African countries, (2) the interactive effect of military expenditure and terrorism on economic growth is significantly positive, (3) the net effect of military expenditure on the relationship between terrorism and economic growth is positive when the number of terrorism incidents act as a proxy for terrorism but negative when the number of terrorism fatalities acts as a proxy for terrorism. However, this negative effect is substantially lower when compared to the unconditional effect of terrorism on economic growth in Africa. Policy recommendations based on these findings are discussed.