This research was conducted in 2012 from the Bolivarian Republic of Venezuela, located in the context of the 35 countries that make up the American Continent to know the compliance with the application of universal jurisdiction, as a mechanism to prevent impunity for atrocious criminal offenses that are typified in the Rome Statute, international agreement in which the U.S., Cuba, Haiti and Nicaragua are the only countries in America that have not signed or ratified its content. The investigation shows that only 7 American countries have adapted their internal regulations to the Rome Statute, which results in the neglect of the countries to comply with this international instrument of such importance for the protection and application of justice for the commission of atrocious crimes against humanity such as the crime of genocide, crimes against humanity, war crimes and the crime of aggression.