Though Twitter is ubiquitous in media because of frequent use by US President Donald Trump and many celebrities, the company has struggled financially.
The new rules heading towards Twitter focus on "unwanted sexual advances, non-consensual nudity, hate symbols, violent groups, and tweets that glorify violence" according to Dorsey.
Jack Dorsey, co-founder and chief executive officer of Twitter, has struggled to deal with rampant abuse on the service.
It comes after some users began a boycott of the social media site following the suspension of actress Rose McGowan's account after she alleged that she'd been mistreated by Harvey Weinstein. McGowan had posted a series of messages related to allegations that Mr Weinstein sexually assaulted numerous women and says she was among the victims.
He went on to say that "we made a decision to take a more aggressive stance in our rules and how we enforce them". However, Friday's protest had shown that users believe the company was still not doing enough, he said. Other women came forward on the website to share their stories of harassment on the site, several reporting that Twitter failed to restrict or block harassers who shared their own personal information on the platform.
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Twitter has rules against abusive speech and threats of violence.
But both Twitter and Reddit, which has also recently tightened its rules, have always been accused of being too freewheeling and not effective at squelching abuse and harassment.
"We stand with the courageous women and men who use Twitter to share their stories and will work hard every day to improve our processes to protect those voices", said Twitter.
In a statement defending their actions in suspending Rose's account, Twitter bosses wrote that they would improve their processes for dealing with abuse. We want to explain that her account was temporarily locked because one of her tweets included a private phone number, which violates our terms of service. We prioritized this in 2016.