Get a FREE Donut from Dunkin' Donuts or Krispy Kreme Today! In honor of National Donut Day, Dunkin' Donuts is giving away a free donut with beverage purchase. Krispy Kreme, however, is offering a no-strings-attached free donut. Getcha some! Posted on June 3, 2011 by Lisa Brown and filed under Announcements, Holidays.