Parker hit 9-of-13 shots from the field and was perfect in six free throw tries for the Spurs, who improved to 3-1.
Tim Duncan added 17 points and Kawhi Leonard scored 14 for San Antonio. The Spurs outscored Denver 30-16 in the fourth quarter.
Denver lost its second home of the young season after losing only three times at Pepsi Center last season.
Notable deaths of 2014 [PHOTOS]
Arizona Cardinals player formally charged