The micro-blogging site will not ban such tweets from the likes of US President Donald Trump because they insist that they are still very much of public interest.
However, they will prevent users from being able to like, reply, share or retweet the posts.
In a blog post, Twitter said: "These actions are meant to limit the tweet's reach while maintaining the public's ability to view and discuss it."
Meanwhile, the app recently launched a new filter to hide abusive messages sent via DM (Direct Message).
The new tool appears in the Message Requests section of a user's inbox and makes it possible to delete any rogue messages.
The filter is part of the site's plans to "improve the health of conversation" after they were criticised by governments for not doing enough to prevent the spreading of hateful comments online.
Even the man who invented Twitter's retweet button has compared it to "handing a four-year-old a loaded weapon".
Developer Chris Wetherell - who led the team to create the tool to share posts in 2009 - recently admitted that it has given the people the "power" to spread any kind of message.
He said: "We put power in the hands of the people.
"But now, what if you just say it slightly differently: Oh no, we put power into the hands of the people."
His admission came after Twitter boss Jack Dorsey admitted the micro-blogging platform needs to do more to tackle online abuse.
The company supremo feels more needs to be done in order to combat abuse, conceding that putting the burden on victims to report abuse was not the way forward.
Asked what grade he would give himself for "tech responsibility", Dorsey said: "Myself? C. We've made progress but it has been scattered and not felt enough. And we've put most of the burden on the victims of abuse (that's a huge fail)."
Twitter has come under fire over recent years for its handling of various issues, including fake news and bullying.