In a blog on Friday, the company said Twitter exists to "serve and help
advance the global, public conversation” and therefore would not remove content
from elected world leaders.
It comes after Mr Trump wrote a controversial tweet about North Korea, which prompted to calls for him to be banned from the site.
Earlier in the week, Trump tweeted: "North Korean Leader Kim Jong Un just stated that the ‘Nuclear Button is on his desk at all times.’
"Will someone from his depleted and food starved regime please inform him that I too have a Nuclear Button, but it is a much bigger & more powerful one than his, and my Button works!”
After "a lot of discussion about political figures and world leaders on Twitter”, the website said: "Twitter is here to serve and help advance the global, public conversation.
"Elected world leaders play a critical role in that conversation because of their outsized impact on our society.
"Blocking a world leader from Twitter or removing their controversial Tweets, would hide important information people should be able to see and debate.
"It would also not silence that leader, but it would certainly hamper necessary discussion around their words and actions.
"We review Tweets by leaders within the political context that defines them, and enforce our rules accordingly. No one person’s account drives Twitter’s growth, or influences these decisions.”
It added: "We work hard to remain unbiased with the public interest in mind.”