National Constitution Center
The FBI operates as part of the Justice Department, and it is known as one of the most independent offices of the executive branch, due to the nature of its work. Its powers are limited by federal law and its agents can “serve warrants and subpoenas issued under the authority of the United States and make arrests without warrant for any offense against the United States committed in their presence, or for any felony cognizable under the laws of the United States if they have reasonable grounds to believe that the person to be arrested has committed or is committing such felony.”
Under the Constitution, the FBI Director is an executive branch official and can be removed if needed. But only in one instance since 1908, after the FBI and its predecessor agency were formed, has a President removed an FBI Director from office.