Twitter CEO Jack Dorsey. AP Images

US President Donald Trump is one of the first global leaders to make daily headlines through Twitter.

After his controversial firing of FBI Director James Comey on Tuesday, Trump used Twitter to defend his decision and goad his opposition.

Then there were his aggressive tweets about North Korea, which last month threatened war.

Some people say Trump should stop tweeting. Others say Twitter should bar him from its platform because he's dangerous.

It won't happen anytime soon, according to Twitter CEO Jack Dorsey.

He told NBC's "Sunday Today": "I believe it's really important to hear directly from our leadership. I believe it's really important to hold them accountable. And I believe it's really important to have conversations out in the open rather than have them behind closed doors.

"If we were all to suddenly take these platforms away, where does it go? What happens? It goes in the dark, and I just don't think that's good for anyone."

This isn't the first time Dorsey has defended the decision not to bar Trump from Twitter. Last month, he told Backchannel he didn't know of a better way than Twitter to hold global leaders accountable, because politicians can see immediate feedback from voters.

Some have said Trump should be barred because his tweets encourage his hardcore supporters to harass people. For example, a study by the Anti-Defamation League late last year found that Jewish people and journalists saw more harassment on Twitter after the election of Trump, who regularly describes journalists and news outlets as "fake news."

But Dorsey says Trump's tweets are newsworthy — something Twitter's policy team considers.

"We're not taking something down that people should be able to report on and actually show that this is what the source said," he told Backchannel. "It's really important to make sure that we provide that source for the right reporting and to minimize bias in articles."