Internet monitoring website DownDetector reported a large spike in reports that Twitter was down on Wednesday evening.
Some users reported having problems with the desktop version of the platform, while others reported difficulties with TweetDeck.
The Independent has reached out to Twitter for comment but the company has reportedly fired its communications team in mass layoffs.
Netblocks, which tracks Internet outages, also flagged the issue.
“Twitter is experiencing international outages affecting the mobile app and features including notifications; incident not related to country-level internet disruptions or filtering,” it tweeted.
Aaron Rupar, a leading journalist temporarily banned from Twitter by Mr Musk, was quick to poke fun at the situation.
“Twitter is the Southwest Airlines of Truth Socials,” he tweeted along with a picture of a Tesla car in flames.
And other Twitter users were also happy to mock the billionaire, who reluctantly took over the company in a $44bn deal in October.
“Gee, who’d have thought that firing 75% of the staff who were holding it together would be a bad thing? I mean, besides EVERYBODY?” tweeted one user.
And another added: “Twitter is burning down and the EIC (egomaniac in charge) is complaining about people being woke. Oy.”