King Agnarr

The King and Queen of Arendelle are the parents of  Elsa and Anna.

Role in the film
They first appear after being frantically called by Elsa who accidently struck Anna while playing. They are worried about Elsa's powers getting too strong, but fortunately they find a map in the royal library that will take them to some trolls who can help Anna.

Anna, Elsa, the king, and queen head over to the valley, and the king of the trolls, Pabbie, informs them Anna can be healed, though they're lucky she wasn't hit in the heart, for it can fatal. Pabbie then informs the royal family that, while Elsa's magic is beautiful, should she not learn to control it and let fear consume her, horrible things will occur. The king assures they'll help Elsa learn to conceal her powers, and before they depart, Pabbie wipes Anna's memories of Elsa's abilities, believing it's best if she completely forgot of the mystical moments they shared, though rearranging the memories to make it seem as if they were playing out in the regular snow, as opposed to snow conjured up in the palace.

The two sisters grow up separately to further safety upon Anna as well as keeping the palace gates closed for the kingdom's safety as well. As Elsa grows, her parents try to help her control her magic ice powers. The king tells Elsa, "Conseal, don't feel. Don't let them know."

One day however, the King and Queen set off leaving the kingdom. They are then killed in a storm at sea by monsterous waves. Anna and all the people of Arendelle mourn the deaths of them, Elsa didn't attend the funeral. And because Elsa is their oldest child, she in next in line for the throne.