The Viking Age is a period of ca 300 years (about 750 - 1050 AD) in the Nordic countries. By then, the Proto-Norse language had developed into Old Norse.
Many names from the Viking Age are documented on rune stones. Other sources for Viking names are e.g. the Landnámabók, a history of the settlement of Iceland, Norse mythology etc.
On this website you can find Viking names when browsing Old Norse Names.
Many Vikings had a byname added to their name. You can find a long list of bynames here.
Many of these names have developed into contemporary forms which can be more usable, if you are looking for a baby name or a name for your roleplay character:
If you e.g. like the name Ingigerðr, you will learn here that it is a variant spelling of Ingigærðr. On that page you will find a list of related names. Those names with a flag (sometimes more than one), are contemporary forms. In this example e.g. Ingegerd or Ingarta.