Coach Bill Self announced the suspension Friday with the Jayhawks (1-1) traveling to Hawaii this weekend for the Maui Invitational, which begins Monday. Greene will not make the trip, but can practice with the team upon its return.
Greene has averaged about 12 minute and 12 points this season and made all six of his shots from the field, including five 3-pointers.
Kansas also said the NCAA is allowing Cheick Diallo to travel to Maui, though he has not been cleared to play. The NCAA has been looking into the prospect's relationship with guardian Tidian Drame.
This story has been corrected to show Greene is the surname throughout.
Brannen Greene back in Bill Self's doghouse
ESPN basketball Insider Jeff Goodman breaks down how Kansas guard Brannen Greene's suspension will impact the Jayhawks.