In a blog post the company said its goal "is to serve and help advance the global, public conversation" and therefore would not remove content from elected leaders. "It would also not silence that leader, but it would certainly hamper necessary discussion around their words and actions".
Since Trump rode Twitter all the way to the presidency, the social media company has fielded calls to strip Trump of his social-media megaphone.
Twitter had already said in September that "newsworthiness" and whether a tweet is "of public interest" are among the factors it considers before removing an account or a tweet. "Elected world leaders play a critical role in that conversation due to their outsized impact on our society", the California-based company said in a blog post.
"Some activists said Twitter should have banned Trump and one group projected images on the company's headquarters with a message "@jack is #complicit", a reference to chief executive Jack Dorsey and "Ban @realDonaldTrump".
At the sight of this very powerful man once again using Twitter to antagonize North Korea (and the world) with the threat of nuclear war, users berated Dorsey about the platform's rules, questioning why Trump's account wasn't being blocked for his behavior.
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Twitter said then that it considered the president's tweet "newsworthy".
The statement did not mention Mr Trump by name but follows his spat with the North Korean leader Kim Jong Un over the ability of the hermit state to launch a nuclear attack on the USA mainland. The company also introduced new policies last month that specifically exempted "military or government" groups from its policies prohibiting accounts that "use or promote violence against civilians to further their causes". "We review Tweets by leaders within the political context that defines them, and enforce our rules accordingly", the company explained.
"No one person's account drives Twitter's growth, or influences these decisions", the company added.
A Twitter spokeswoman said the company would have no comment on the calls for Dorsey's resignation.
In the latest jibe against the North Korean leader, Mr Trump denigrated the potency of the North Korean nuclear arsenal.