Foreign direct investment (FDI) represents the catalyst for economic development of the countries where the capital is being invested. FDI brings capital, new technologies, opens new markets and increases employment. Therefore, all countries seek to attract foreign investors to invest their capital exactly into their country. One of the most important factors when deciding where to invest is the security of investment. Countries that are exposed to terrorist activities are certainly not areas that are either attractive or acceptable for foreign investors. Investors are usually very quick to retreat from such countries and to invest in safer areas. This paper explores the impact of terrorism on the inflow of foreign direct investment. The method of the Econometric Analysis of Panel Data GMM (Generalized Method of Moments) was used for the impact research. In addition, the empirical testing and evaluation of the impact of terrorism on the FDI inflow was conducted. The research was conducted on a sample of 87 countries that were grouped according to the degree of risk of a terrorist attack. Data from the period of 2001 to 2013 were used. The research results confirm that terrorism adversely affects the safety of the inflow of foreign direct investment to the selected countries, in both the short- and long-term. This confirms the basic scientific hypothesis which states: terrorism and terrorist activities have a negative impact on the inflow of foreign direct investment. Terrorism, through the reduction of foreign direct investment, has a negative impact on the economic activity and economic growth of countries that are exposed to terrorist attacks. That is the reason why these countries are investing into the anti-terrorist security and prevention of terrorist attacks. The previously well-thought-out security policy can mitigate negative consequences of the impact of terrorism on the foreign direct investment. The Republic of Croatia has joined the fight against terrorism, by adopting national measures of prevention and protection against terrorist attacks and by coordination/cooperation with the inter-institutional and international counter-terrorism bodies.