In a statement published with the club's annual financial report, King talked up the "Everyone Anyone" initiative, stressing Rangers was a club for everyone.
Rangers have twice been ordered to close a section of Ibrox for Europa League games this season after being found guilty of sectarian singing, or "racist behaviour" as Uefa labelled it.
King said: “As always, I want to thank this club’s wonderful support. They really are the best when fully behind the team in the proper manner. The manager and players often refer to the supporters as a powerful driving force for the team and it is essential that we retain this atmosphere and resist the efforts of a tiny minority to bring disrepute to the club’s name through sectarian and other unacceptable behaviour.
“This is one of the aims of our Everyone Anyone initiative, which has been positively and widely received – even by our country’s politicians. This project is one of the most ambitious we have undertaken and it will highlight just how diverse and open our support actually is – Rangers is a club for all."