Place egg in a saucepan and cover with cold water. Bring water to a boil and immediately remove from heat. Cover and let eggs stand in hot water for 10 to 12 minutes. Remove from hot water, cool, and peel. Place eggs in a glass or plastic container.
In a saucepan, combine beets, vinegar, sugar, water and cinnamon. Bring to a boil, and stir until sugar is dissolved. Place eggs in a large plastic container or jarPour over eggs. Cover, and chill for 3 days.