We describe the mortality currently attributable to smoking in the European Union (EU), and the change that would result if all EU countries had the smoking prevalence of Sweden. Almost 500,000 smoking-attributable deaths occur annually among men in the EU; about 200,000 would be avoided at Swedish smoking rates. In contrast, only 1100 deaths would be avoided if EU women smoked at Swedish rates. The low smoking-related mortality among Swedish men probably is due to their use of snus (Swedish smokeless tobacco).