But Comey said that FBI investigators uncovered "several thousand" work-related emails that she hadn't handed over - including three that were classified at the time they were sent, though not marked as such.
"Isn't she an original classification authority though?" asked Rep. Ron DeSantis (R-Florida) referring to the fact that secretaries of state are vested with authority to classify information as high as top secret.
Committee chairman Jason Chaffetz, R-Utah, told Comey that the FBI's decision showed a "double standard" for powerful people.
"We will aim to be as expeditious as possible, but we will not put artificial deadlines on the process", State Department spokesman John Kirby said Thursday, noting that the internal review can proceed now that the Justice Department investigation wrapped up with no charges filed against Clinton. Second, Director Comey made crystal clear that Republican claims, some of the talking heads' claims of bias are completely false.
Comey also said that Clinton used multiple devices for sending and receiving classified emails.
Despite the vote, the panel's investigation of Clinton may continue.
The State Department suspended its review in April to avoid interfering with the FBI's inquiry.
But he also said it was possible Clinton didn't even understand what the classification markings were, saying the investigation suggested she was not "particularly sophisticated with respect to classified information".
FBI Director James Comey said this week there weren't grounds to prosecute Clinton but that she and her aides had been "extremely careless" in their handling of classified information.
Democrats agreed with Comey and called the hearing little more than another Republican attempt to politicize the probe against Clinton, the presumptive Democratic nominee for president this fall.
Indeed, it is the public's perception that Clinton is arrogant - that she feels she need not follow the rules that apply to others - that is most responsible for the concerns many voters have about her trustworthiness.
The move came a day after Attorney General Loretta Lynch agreed with the Federal Bureau of Investigation recommendation that no criminal charges should be filed in relation to the email case.
These are real possibilities as the director said that Clinton used her email extensively while traveling in nations hostile to us and that "hostile actors" may have hacked into her system.
House Speaker Paul Ryan and other Republicans have asked Comey to release all unclassified findings of the FBI's yearlong investigation.
Comey said the guilty plea of Petraeus offered the "perfect illustration of a case that gets prosecuted".
"They were not careless and the material that they sent, they did not believe that was classified."
"Director Comey is a man of impeccable integrity, " said Plaskett, who once worked with the director during a previous tenure at the Justice Department.