The NBA announced on Tuesday that Green has been fined $35,000, Curry $25,000 and Durant $15,000.
Green was punished for Twitter posts which may have been referencing Tim Donaghy, who was involved in a betting scandal that rocked the sport.
He simply dropped the initials "TD" right before "MK.", which could have been in reference to official Marat Kogut - who was working the game against the Timberwolves.
Durant specifically mentioned Kogut after the match.