Sandy Easdale, chairman of Rangers Football Board, his brother James and Brian Stockbridge all received threats on a fans' website.
One image on the website, which cannot be named, contained a picture of Stockbridge with the caption stating "where is Lee Harvey Oswald when we need him".
Another posting advocates "torching" McGill's Buses, which are owned by the Easdale brothers.
Stockbridge, the Rangers financial director, was one of the five board members re-elected at Thursday's annual general meeting.
Solicitors have asked police to investigate violent threats made against him and the Easdales.
Rangers chairman David Somers believes the "majority" of the Light Blues' support trusts the board despite the stormy scenes at the AGM.
The Rangers board were booed on to the stage but emerged triumphant after all five directors were re-elected and their four opponents failed in their bid to be appointed.
Under-fire finance director Brian Stockbridge, who received a particularly rough ride from those who attended the AGM, received 65.3 per cent backing from shareholders while his four colleagues, Norman Crighton, James Easdale and chief executive Graham Wallace, who subsequently won over most of the body of the meeting, all secured more than three-quarters of the support.
The four so-called requisitioners - former Rangers oldco director Paul Murray, former chairman Malcolm Murray, Alex Wilson and Scott Murdoch - all polled close to 30 per cent of votes to scupper their hopes.
The fall-out from the meeting had Gers supporters and fans' representatives talking about boycotts and refusing to renew season tickets amid general disgruntlement.
Asked if he accepted there was a lack of trust in the board from the fans, Somers said: "Just at the beginning (of the AGM) there were boos but the rest of the meeting was very orderly.
"I was pleased that I got a nice round of applause after my speech which I thought was very generous of them.
"I thought the questions were fair and overall, I thought the mood of the meeting was very positive.
"Hopefully it cleared the air and we can build on that and take the club forward in terms of stability.
"I think there is trust from the majority of the fans but having looked at the dark corporate history of the club, I understand why, for some of the fans' groups, there is some distrust. It is our job to build up the trust but it will take time."