In 2004, the most important event in Europe was the Europian Union Eastward Enlargement. Recent EU Eastward Enlargement not only successfully brought the peace (the end of cold war period) between Eastern and Western Europe countries, openned new era of Europe politics and society, but also create the world's largest single market. As the emergence of EU Eastward Enlargement, world's economic will be influenced, including economic growth and international competition. However, some negative impacts of EU Eastward Enlargement might be found, which occur mainly due to unfair international trade. This study will mainly analyze the important economic impacts of EU Eastward Enlargement, by trading relations and invesment agreements, including, "trade creation effect, trade divertion effect, investment creation effect and investment divertion effect". This study will investigate how EU Eastward Enlargement influence European Union and world economic geographic behaviors, how it influences Taiwan in international trade competition, and the last is how Taiwan should respond.