Snow's father is the King of Lestarva. Like Snow, he has a Snowman type Guardian. His is very large with a moustache and named Kaiser Snowman. He isn't seen in the anime until episode 96, although he is visible during the ending sequence of that season, earlier on.
He is addressed using the Japanese word for 'king' ("boryo" or something like that) as opposed to the Chess Piece of King which is pronounced like the English word.