Based on annual data for 31 emerging and developing economies in the period 2000-2020, this paper explores the impact of global economic policy uncertainty on episodes of extreme international capital inflows. Following previous researches, we identify episodes of surges and stops. The results show that the global economic policy uncertainty can significantly increase the probability of surges and decrease the probability of stops in emerging and developing economies. The heterogeneity tests show that these effects vary with economic growth, financial development, the degree of economic globalization and global liquidity. Above effects are significant in the groups with higher economic growth, higher financial development, higher economic globalization and higher global liquidity. Further analyses show that as global economic policy uncertainty rises, its impact on surges and stops gradually declines. In addition, global economic policy uncertainty has a significant negative effect on the surge in advanced economies, which could confirm the above conclusion to a certain extent.