Disgruntled social media users have vented their frustration on Twitter, altering images of the cover - that saw the businessman turned political sitting solemnly on a chair - and making comparisons to other political figures, such as Adolf Hitler and Vladimir Putin.
In a statement explaining their decision, Time said: "It's hard to measure the scale of his disruption. For those who believe this is all for the better, Trump's victory represents a long-overdue rebuke to an entrenched and arrogant governing class."
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Trump named Time Magazine's Person of the Year
Here's what the internet said in response:
But not everyone was against the decision: