Prime Minister Rishi Sunak has resisted demands to investigate Ms Braverman for violating ministerial code by sharing a sensitive document without permission with a Tory backbencher from a personal email.
She was fired from her position and was reinstated six days later when Mr. Sunak became prime minister.
The Public Administration and Constitutional Affairs Committee has released a new report recommending that corporate appointment rules, which govern what employment ministers and senior civil servants can take up after leaving government, be expanded and made legally enforceable to act as a “sufficient deterrent” to inappropriate conduct.
The committee also said Ms Braverman’s reappointment sets a “dangerous precedent” for how code violations are handled.
They said leaking restricted material would merit “significant sanction” under new rules introduced by Boris Johnson in May this year, and said a new prime minister should not be able to simply “wipe a clean slate” if it about appointing ministers.
The Chair, Tory MP William Wragg, said: “It is the role of government to ensure a robust and effective system of enforcing standards in public life, with appropriate sanctions for those who break the rules.
“Our research has shown that while we have a sophisticated landscape of ethics watchdogs in the UK to ensure standards in public life, they lack the power to enforce the rules.
“The prime minister is rightly the ultimate arbiter of the rules in our system.
“We urge him to show leadership and give legal status to all ethics watchdogs.
“This will better deter those who may be tempted to act inappropriately and further protect the integrity of our public life.”
Labor leader Sir Keir Starmer has demanded the Home Secretary’s resignation, accusing Sunak of making a “grubby deal where he traded security for support” in the Tory leadership contest, which he won after winning Ms Braverman’s support had received.
But the Prime Minister has insisted Ms Braverman “learned from her mistake” and that he has no regrets about the nomination, despite some Conservative MPs adding their voices to the backlash.