The incident occurred at 13:05 of the third period of the Stars' 2-0 win over Florida on Friday. Kulikov went low and hit Seguin on his right knee just after the Dallas forward entered the offensive zone.
Kulikov was assessed a major penalty for clipping and a game misconduct.
The Stars announced that the team's leading scorer will miss 3 to 6 weeks with a right knee injury.
Kulikov will forfeit more than $93,000 in salary.