Coach Bill Self declined to discuss the specific violations Sunday, but he did say they occurred during the offseason and that both players "have been terrific since school began."
They'll miss exhibition games Tuesday night against Pittsburg State and Nov. 8 against Fort Hays State.
Taylor is the Jayhawks' leading returning scorer after averaging 9.4 points and 4.6 assists last season. Johnson started six games a year ago and is their best returning outside shooter.
Kansas opens its regular season Nov. 11 against Towson.