King Frederik was seen wiping away tears as he spoke on the balcony at the Christiansborg Palace.
The Denmark King saying: "My hope is to become a unifying king of tomorrow".
"It's a task I've approached all my life. It's a task I've taken on with pride, respect and joy."
The King also paid tribute to his mother Margrethe II.
He said she would always be remembered as an “extraordinary” regent.