Several accounts belonging to prominent journalists have had their accounts suspended.
The New York Times, CNN and Washington Post were among the reporters locked out of their accounts.
The ban was related to the live sharing of location data, according to a spokeswoman for the social network.
The owner of a profile that tracks Musk's jet is going to be sued.
The list of banned journalists includes The Intercept's Micha Lee.
A new rule introduced on Wednesday that prohibits "live location information, including information shared on Twitter directly or links to 3rd-party URL(s) of travel routes" is the reason for the bans.
"I can confirm that we will suspend any accounts that violate our privacy policies and put other users at risk," she said.
We don't make exceptions for journalists or any other accounts.
On Wednesday, the account was suspended and other accounts were used to track his plane.
Jack Sweeney's personal account was blocked as well. Mr Musk said he would take legal action against him and organizations that supported harm to his family.
Mr Musk said a stalker used live location sharing to find and steal a vehicle carrying his children.