State Department spokeswoman Victoria Nuland said the department had accepted the resignations of four people: Boswell as well as two others in the bureau of diplomatic security and one in the bureau of Near East Affairs. She would not name the three other officials.
Some of those who resigned may have the option of being reassigned to other duties, the officials said.
The department declined immediate comment on the resignation of the officials whose decisions had been criticized in the unclassified version of the Accountability Review Board's report that was released late Tuesday.
The board's cochairman, retired Adm. Mike Mullen, told reporters that the board had not determined that any officials had "engaged in willful misconduct or knowingly ignored his or her responsibilities."
But Mullen, a former Joint Chiefs of Staff chairman, added: "We did conclude that certain State Department bureau level senior officials in critical levels of authority and responsibility in Washington demonstrated a lack of leadership and management ability appropriate for senior ranks in their responses to security concerns posed by the special mission."
Mullen said the mission's security fell through bureaucratic cracks caused in part because buildings were categorized as temporary. The report said that budget constraints had caused some officials to be more concerned with saving scarce money than in security.
Cochairman Thomas Pickering, a retired ambassador, said the personnel on the ground in Benghazi had reacted to the attack with bravery and professionalism. But, he said, the security precautions were "grossly inadequate" and the contingent was overwhelmed by the heavily armed extremists.
"They did the best they possibly could with what they had, but what they had wasn't enough," Pickering said.
Pickering and Mullen spoke shortly after briefing members of Congress in private. Lawmakers from both parties emerged from the sessions with harsh words for the State Department.
"My impression is the State Department clearly failed the Boy Scout motto of 'Be prepared,' " said Sen. John Barrasso (R., Wyo.).
"They failed to anticipate what was coming because of how bad the security risk already was there. . . . They failed to connect the dots," he said. "They didn't have adequate security leading up to the attack and once the attack occurred, the security was woefully inadequate."
The House intelligence committee chairman, Rep. Mike Rogers (R., Mich.), said the report laid bare "the massive failure of the State Department at all levels, including senior leadership, to take action to protect our government employees abroad," and complained that no one was being held accountable.
Rogers also said he was dissatisfied with the lack of progress in finding the attackers.
Pickering and Mullen set the stage for public hearings Thursday on Capitol Hill. Scheduled to testify were Deputy Secretary of State William Burns, who is in charge of policy, and Deputy Secretary of State Thomas Nides, who is in charge of management.
Secretary of State Hillary Rodham Clinton was to have appeared at Thursday's hearings, but she canceled after fainting and sustaining a concussion last week.