In a separate tweet, Musk said Twitter previously issued a warning before suspension, but as Twitter is rolling out widespread verification, there will be no warning as well as "no exceptions".
"This will be clearly identified as a condition for signing up to Twitter Blue," Musk said, adding any name change at all will cause temporary loss of verified checkmark.
Twitter on Saturday updated its app in Apple's App Store to begin charging $8 for sought-after blue check verification marks, in Elon Musk's first major revision of the social media platform.
Twitter's content moderation council
Tesla Inc boss Musk, who also will serve as chief executive of Twitter, last month said Twitter will be forming a content moderation council with "widely diverse viewpoints" where "no major content decisions or account reinstatements will happen before that council convenes".
On the topic of banned accounts, Musk last week said they will not be allowed back onto Twitter until the social media platform has "a clear process for doing so".
Creating such a process would take at least a few more weeks, Musk had tweeted, giving more clarity about the potential return of former US President Donald Trump. The new timeline implies Trump will not get his account back in time for the midterm elections on November 8.
Earlier on Sunday, the New York Times reported Twitter is delaying the rollout of verification check marks to subscribers of its new service until after Tuesday's midterm elections.