WASHINGTON — Hillary Rodham Clinton’s presidential campaign casts her decision to turn over her personal e-mail server to the Justice Department as cooperating with investigators. Her Republican critics suggest the move and new revelations about classified information points to her malfeasance as secretary of state.

Two e-mails that traversed Clinton’s personal system were subsequently given one of the government’s highest classification ratings, a Republican lawmaker said.

Federal investigators have begun looking into the security of Clintons’ e-mail setup amid concerns from the inspector general for the intelligence community that classified information may have passed through the system. There is no evidence she used encryption to prevent prying eyes from accessing the e-mails or her personal server.

“It’s about time,” House Speaker John Boehner said in a statement after the front-runner for the Democratic nomination announced she was directing the server be relinquished. “Secretary Clinton’s previous statements that she possessed no classified information were patently untrue. Her mishandling of classified information must be fully investigated.”

Republican National Committee Chairman Reince Priebus said: “All this means is that Hillary Clinton, in the face of FBI scrutiny, has decided she has run out of options. She knows she did something wrong and has run out of ways to cover it up.”

For months Clinton refused calls to give up the home-brew e-mail server she used in her suburban New York City home to send and store e-mail through a private account.

She has defended her use of the server, saying she used it as a matter of convenience to limit the number of electronic devices she had to carry. She has said the server account never held classified information.

Officials are investigating whether classified information was improperly sent, though it’s not clear if the device will yield any information. Her attorney said in March no e-mails from the main personal address she used while secretary of state are on the server or back-up systems associated with it.

Clinton campaign spokesman Nick Merrill said Tuesday she has “pledged to cooperate with the government’s security inquiry, and if there are more questions, we will continue to address them.”