This article examines the roles of institutions in driving firms’ performance using merged Enterprise Panel Survey data sets collected and compiled by World Bank for 23 sub-Saharan Africa (SSA). The study used labour productivity as a proxy of firms’ performance due to its advantages over total factor productivity. To address the problems of multiple sources of heterogeneity and simultaneity biases, the study employed high-dimensional fixed-effects model together with its instrumental variable version to estimate the impacts of institutions on firms’ performance in SSA. The study established that institutions contribute significantly and positively to firms’ performance in SSA. The study infers that control of corruption, government effectiveness, regulatory quality and rule of law are pro-market institutions that effectively create favourable business and investment climates. Other findings of the study include capital–labour ratio, export, high school, average labour costs, research and development (R&D) and capacity utilisation, which all drive the firm’s performance in SSA. Thus, the findings imply that prevailing and future policies on business, trade and investment in SSA should also incorporate institutional reforms as one of the essential measures to rapidly and sustainably boost economic performance in the region.