The Norse Viking exploration of coastal North America is described in the Saga of Erik the Red.  Leif Erikson first landed in the area that is said to include what is now known as Newfoundland and the Gulf of Saint Lawrence up to as far as northeastern New Brunswick.  These explorations occurred in approximately 1000 AD.

Archaeological evidence of these events spoken of in the saga are said to be conclusively established by the 1960 finding of colony at L’Anse aux Meadows on the northern tip of Newfoundland.   This area is said to correspond to the camp of Straumfjord mentioned in the saga.

The account of the Viking discovery  and exploration of parts of North America can be read in the historical documents section of the Harvard Classics here:

http://www.bartleby.com/43/1.html#9

An excerpt in audiobook format pertaining to these voyages can be listened to here: