The Blue Order and Union Bears singing sections are situated in the Broomloan Front at Ibrox but both have confirmed they will refuse to hand over cash for season books as tension between the terraces and boardroom escalates.
The Rangers Union of Fans this week launched their website to allow supporters to pool cash which will only be released to the club once security over Ibrox and Murray Park has been granted.
The plan has been given the backing of former director Dave King and ex-player Richard Gough, with Rangers officials admitting recently that season-ticket sales have been slow as fans increase pressure on the Ibrox hierarchy.
A statement said: "The Blue Order is confirming that we are reluctantly not renewing our season tickets for the 2014/15 season. It is, however, our intention to buy tickets for home and away games on a match-by-match basis so that we can continue to give our full support to our team."
A UB statement said: "It has been a painful sacrifice but we hope it proves to be an effective one. We believe we can't continue to put our hard-earned money into a club suffering from mismanagement in all areas. We find it very hard to renew with all the uncertainty surrounding the club and don't believe that throwing cash into a financial black hole is the answer."
David Somers, meanwhile, has bought a second stake in Rangers, a day after buying his first shares in six months as non-executive chairman.
The accountant and pension fund manager purchased 12,000 shares in Rangers International Football Club plc at 27p. The previous day he bought 35,000 shares in the company and now holds a 0.07% stake in the club.
It also emerged that the Rangers director Sandy Easdale has increased his voting rights to 26.71% after buying a further 57,043 shares at 23p each on May 1.
It means Easdale, whose brother James is on the plc board, now holds three million shares, a 4.61% stake in the company.
Last year, Easdale was granted the voting rights of the secretive Blue Pitch Holdings and Margarita Funds Holding Trust.