The suspensions, which total seven years and have been confirmed by UK Anti-Doping, relate to the aftermath of a positive drugs test given by Gleeson in May.
One month later, Gleeson was banned for two years after a hearing into his positive test for the banned stimulant methylhexaneamine.
UKAD say that the centre admitted that he lied about the circumstances that led to his failed test, with Rule and Cooper charged with being complicit in those lies.
Gleeson has subsequently accepted a three-year ban, with half of that suspended due to his so-operation, while Cooper has accepted a two-year ban, also with half suspended.
Rule did not contest the charge and was banned for two years by the National Anti-Doping Panel.
Gleeson had only joined Hull in April and played just six games before ceasing to appear for the Black and Whites. His positive test had not been revealed before Thursday’s UKAD announcement.
His ban has been backdated to June and will not expire until next November, meaning the former Huddersfield, St Helens, Warrington and Wigan star will not be able to play competitively until the start of the 2013 season.
“This case marks two firsts for the anti-doping community,” UK Anti-Doping Chief Executive Andy Parkinson said.
“It is the first time that tampering with the doping control process in this manner has resulted in a violation, and the first time that members of an athlete’s entourage have been convicted of anti-doping rule violations in the UK.
“In a hearing before the National Anti-Doping Panel, athletes and their entourage are obliged to tell the truth, or the system will fail, and this case makes clear the penalties for not doing so.
“Once again, this highlights to the sporting community that UK Anti-Doping will aggressively pursue all types of anti-doping rule violation. While all eyes are on the London Games this year, we continue to work on behalf of clean athletes in every sport.
“I would like to thank the RFL for their support and assistance throughout this process which has reinforced Rugby League’s ongoing commitment to tackling the issue of doping in sport.”
Rugby Football League Chief Executive Nigel Wood added: “Such behaviour is unacceptable and this case has brought the sport of rugby league into disrepute. We must applaud UK Anti-Doping for the hours of work they have put in to conduct a detailed and extensive investigation.
“We have assisted UK Anti-Doping throughout their investigation and these results show that doping of any kind will not be tolerated in our sport.”