Natives and Europeans, but look at a map to see beyond that simple answer. In Alaska, you have bodies of water and landmasses named after Russians (Chirikof Island, Wrangell, St. Elias), Englishmen (Cook Inlet), Germans (Kotzebue Sound), Spaniards (Valdez Arm), and Frenchmen (La Perouse Strait).

There were Americans (Yankee traders supplied the Russian colonies and Natives alike) Finns (the Russo-Finnish Whaling Company, circa 1855), Norwegians and people from all around the world. Alaska was one of the last great unexplored areas of the world with a coastline, and it stayed that way until the second half of the 19th century.

Yes, /u/The_Alaskan is correct, there were people from all over the world. At least in BC, there were also Hawaiian, Chinese, and Japanese workers.

Here's a review of Jean Barman and Bruce Watson's book about Hawaiians in the PNW.