Parliamentary career
At the 2010 general election, Norman was elected to Parliament as MP for Hereford and South Herefordshire with 46.2% of the vote and a majority of 2,481.
He was a member of the Treasury Select Committee from July 2010 to March 2015, was Chairman of the All-Party Parliamentary Group on Employee Ownership, founder of the PFI Rebate Campaign and founding member of the Campaign for an Effective Second Chamber which campaigns for the House of Lords to be appointed rather than elected.
On 10 July 2012, Norman was reported to be the organiser ringleader of the rebellion over the House of Lords Reform package presented to the House of Commons. Ed Miliband, the then leader of the Labour Party, described the scene involving Cameron and Norman as "fisticuffs in the Lobby" at Prime Minister's Questions.
In 2013, Norman said that so many Old Etonians were in government positions because of Eton's "ethos" of public service that "other schools don't imbue the same commitment". Later on Twitter, Norman said his comments were "defending one institution, not attacking others". Norman describes his educational background as following "an educational argument between my mother, who despised any form of privilege, and my father, who took the view that he had set up his own business, so he was entitled to spend money on his kids' education".
Norman was dismissed from Downing Street's Policy Board in September 2013 after rebelling against the Government again in opposition to military intervention in Syria.
On 27 June 2014, prior to the nomination of Jean-Claude Juncker to the presidency of the European Commission, Norman gave his wholehearted support of Cameron's stance, as being "absolutely right... in opposing Mr Juncker". He argued that the EU constitution requires elected heads to choose its "President" and secondly that Juncker's manifesto fails to tackle what he (Norman) sees as the President's duty to address the unpopularity of EU mandates. Norman also said that democracy, for the British, involves legitimacy derived from the ballot box, whereas for some Europeans, it involves centralised bureaucracy.
In September 2014, Norman raised the issue of rules concerning football club ownership in the House of Commons, alleging the then-Chairman of Hereford United had a criminal conviction, in support of Supporters Trust's campaign to oust the Agombar régime at Hereford Utd FC. On 19 December 2014, the club was wound up in the High Court.
At the 2015 general election, Norman was re-elected as MP for Hereford and South Herefordshire with an increased vote share of 52.6% and an increased majority of 16,890.