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.
Ray Liotta sues skin care company over use of likeness
Boston schools pull out free condoms over wrapping complaints