Hysen - the son of former Liverpool defender, Glenn Hysen - becomes Niall Quinn's seventh summer signing.
Quinn said: "I'm excited about the signing of Tobias.
"He's a good young prospect, a highly-rated international player who I think will do very well in a Sunderland shirt."
Hysen said: "I've always dreamed of playing in England, ever since I remember watching my father play for Liverpool at Anfield.
"He knows all about Sunderland and the passion of the supporters here so I'm looking forward to playing for the club."