"It’s an exceptionally rare thing – in life or in business – that you get a second chance to make another big impression," the company's CEO Linda Yaccarino tweeted.
Twitter has changed its branding from the blue bird to an X on the website.
The change followed a series of tweets from the social media platform's billionaire owner Elon Musk.
"If a good enough X logo is posted tonight, we'll make (it) go live worldwide tomorrow," Musk tweeted on Sunday, later posting new images of a bird turning into an X logo.
The website X.com now brings users directly to Twitter while the changes have not been incorporated on the smartphone app.
Musk tweeted in October last year that "buying Twitter is an accelerant to creating X, the everything app".
"It’s an exceptionally rare thing – in life or in business – that you get a second chance to make another big impression," said Twitter's new CEO Linda Yaccarino, in a statement on her account.
She posted a photo of an X displayed on Twitter's headquarters in San Francisco.
"Twitter made one massive impression and changed the way we communicate. Now, X will go further, transforming the global town square".
According to Yaccarino, the X app will be the "future sate of unlimited interactivity", and will include audio, video, messaging, payments, and banking.
"Powered by AI, X will connect us all in ways we're just beginning to imagine," she continued.
The change sparked a lot of debate on Twitter on Monday as users saw the blue bird logo replaced by the simple X.
A number of other brands and companies chimed in suggesting Twitter was now treading on their turf with the rebrand.
UK Radio station Radio X and ITV's ITVX player both made suggestions that Twitter's new X was a little too familiar.
Big change at Twitter
Musk bought Twitter in October last year in a $44 billion deal. His changes have included firing most of the staff and changing Twitter's blue verification to a subscription service.
Twitter is now facing a lawsuit claiming it owes former employees hundreds of millions in severance pay.
Musk has been known for using the letter X in his other companies' branding.
X.com was an online bank he founded in 1999 which later merged with another software company to become PayPal.
Another one of his companies, the Space Exploration Technologies Corporation, is commonly known as SpaceX.