And Richmond spearhead Tom Lynch will miss the Tigers' clash with Port Adelaide on Saturday after his one-match suspension for rough conduct on Carlton's Tom De Koning was upheld.
Hawthorn will challenge defender Jack Scrimshaw's three-match ban for a high hit on Essendon's Jordan Ridley in Tuesday night's final hearing.
After 39 minutes of deliberation, the tribunal of chairman Jeff Gleeson, Shane Wakelin and Jordan Bannister, upheld Archer's ban, ruling him out of games against Melbourne, Adelaide and Sydney.
Dogs defender Cleary was knocked out when Archer's knee made contact with his head in a contest in Saturday night's match at Marvel Stadium.
Play was stopped and Cleary received medical attention before being taken to hospital.
The match review officer graded Archer's actions as careless conduct, severe impact and high contact, resulting in a three-game suspension.
Cleary, 23, was back at Whitten Oval in good spirits on Monday but will miss the Bulldogs' match against Collingwood on Friday night under concussion protocols.
North's defence centred around Cleary's decision to go to ground to collect the ball.
"I expected him to pick up the ball and stay on his feet," Archer said, noting players were trained not to go to ground.
Gleeson acknowledged rules encouraged players to keep their feet but this didn't always happen and "players need to be aware", saying Archer had "slowed too little and too late".
North can still take the case to the AFL appeals board but at this stage are unlikely to do so.
Archer said once Cleary's knee hit the ground, he had slowed down and braced for impact, but AFL lawyer Andrew Woods said he hadn't taken "reasonable care" to avoid the collision.
North used graphs showing Archer's "active deceleration" prior to impact and lawyer Justin Graham noted he showed "no indication of ever turning to bump" or "leaving the ground".
Graham said Cleary also appeared to receive contact in his back/shoulder from Jacob Konstanty, who was behind him.
Richmond argued Lynch's contact with De Koning in Thursday night's clash, where his shoulder hit the Blue's jaw, was due to Carlton defender Jacob Weitering pushing the forward.
"I'm in a vulnerable position and I react to get my head out of the dangerous position it was in," Lynch said.
Lynch said he had not attempted to bump or make high contact.
Woods argued the Weitering push was "not of any significant force" and Lynch had opted to bump.
After just 17 minutes of deliberating, the tribunal of Gleeson, Scott Stevens and Paul Williams found Lynch had intended to bump De Koning and did so, and it was not caused by the push from Weitering.
The rough conduct charge and "careless" grading were upheld.
Melbourne are yet to decide whether they will accept or challenge Aidan Johnson's one-match suspension for rough conduct on Giants forward Callum Brown.
Sydney have accepted Justin McInerney's three-match ban for the bump that concussed Brisbane's Brandon Starcevich.
