Kuranyi has been ostracised by Low since storming away from the Westfalenstadion in Dortmund before the final whistle after being omitted from the matchday squad for the qualifier against Russia in October 2008.
His form for Schalke this season has led to calls for a recall, with even Franz Beckenbauer urging Low to swallow his pride and take the Brazil-born forward to South Africa.
Low, though, told Kuranyi in a phone call today he would not be included in the preliminary squad he names next Thursday.
"The disciplinary incident in October 2008 was not a consideration recently," Low said in a press release from the German Football Association (DFB). It would have been no problem for us to give him a new chance in the national team.
"However, after consideration among our coaching staff we came to the conclusion that we had other ideas, tactically and personnel-wise, for the composition of the World Cup squad.
"This I discussed today frankly with Kevin, who has had a strong season and whom I think is a player of sound character."