"Sheesh. Big fan here. I find my girlfriend with a body type like this quite beautiful. Dial it back a bit homie," one man wrote.
"Sorry. Not beautiful. And no amount of authoritarian tolerance is going to change that," wrote another alongside a photo of Peterson.
"Why do men feel it's their duty to publicly pronounce their view on the attractiveness of women? Couldn't you just keep it to yourself?," added another woman.
The model featured on the cover did not seem fussed about the comments made by Peterson - who has made a name for himself by railing against everything from feminism to social justice warriors.
"Hoes mad [nail painting emoji] [calm smile emoji]," she wrote in a quote-retweet of Peterson's original tweet.
Peterson has a chequered history in both his private and public life, having developed a dependency on prescription medication and being admitted to rehab following his wife's cancer diagnosis.
He was thrust into the mainstream after a video of him arguing with students and refusing to refer to them as their chosen gender pronouns went viral online.
He leveraged his newfound fame by injecting himself into the Canadian debate over transgender rights.
His 2018 self-help book 12 Rules for Life: An Antidote to Chaos - which encouraged readers to stand up straight, not bother children skateboarding and avoid petting stray cats - sold more than three million copies worldwide.
Dr Peterson has repeatedly been criticised for his old-fashioned views on women and accused of spreading misinformation.
He drew outrage after appearing to endorse government-forced monogamy, going as far to say it may have helped Canadian man Alek Minassian who killed 11 people in Toronto.
Minassian declared himself to be part of a misogynist group whose members call themselves incels - a term short for "involuntary celibates."
"He was angry at God because women were rejecting him," Peterson said. "The cure for that is enforced monogamy. That's actually why monogamy emerges."
The academic also spouts the benefits of the carnivore diet – a method of only eating meat that was suggested to him by his daughter when he was unwell.
His daughter has no qualifications in regards to nutrition or dietetics but the family claim it helped Peterson recover from benzodiazepine withdrawal syndrome.
Peterson also pushed against Covid-19 vaccines and restrictions in Canada, in one instance claiming the Canadian PM would have to kill him before getting a booster.
