Today's Nazi followers and supporters are known as Neo-Nazis, mostly. The Neo-Nazi movement was started as an attempt to revive Nazism, using many elements from the original Nazi doctrine and belief system, including racism, nationalism, anti-Semitism, and other ideals. Holocaust denial is common among today's Nazi supporters, who admire Adolf Hitler as a renowned leader rather than the evil monster that most of the world sees when they look at this man. This is a global issue, with many countries having well-organized representation of their existence and beliefs.
After the Holocaust, many displays of Nazism were banned, including expression of support, racism, anti-Semitic views, and the use of many Nazi symbols. This is prevalent in countries throughout Europe, including those like Israel, and often keeps Neo-Nazis from showing themselves in the general public. This is still more of an underground movement without much organization on a global scale, but it does exist and is something to watch for. Austria is home to a large movement of Nazi supporters, due mostly in part to the Freedom Party of Austria, which was a shelter for Nazis after the war and helped with the failure of removing Nazis and their ideals from Austria in the postwar years.
Germany still has many Neo-Nazi organizations and extremists in the country, although symbols, organizations, and Holocaust denial are actually banned in the country. Many other countries throughout Europe have their own movements going on reflecting their Nazi ideals and beliefs, be they public or private about their existence. There are also a large number of Neo-Nazis and supporters in the United States, but they are very small groups that mostly keep underground for fear of persecution or getting in trouble with the law. Because the U.S. has the Freedom of Speech (the First Amendment of the Constitution), people have a lot more latitude in expressing their beliefs and ideals related to Nazism in the country. This includes the creation of a known Holocaust denial group, the Institute for Historical Review, which was founded in 1978.
As for the Nazis from World War II, most have since passed on. The war ended more than 60 years ago, and many of the Nazi party members were already in their mid life during WWII. Any remaining Nazis from the original uprising in Germany are elderly and likely not going to own up to who they are because of fear of punishment or persecution.