Born in Birmingham, West Midlands, Brunt started his football career with Bristol City's youth team before joining Stoke City's academy in 2010. Brunt began well at Stoke scoring a hat trick against Walsall reserves in September 2010. However Brunt missed most of the 2010–11 season after suffering a cruciate knee ligament injury. After recovering from his injury Brunt joined Northern Premier League Premier Division club Nantwich Town on loan and his first appearance for them was in the FA Cup first round against Milton Keynes Dons which Nantwich lost 6–0. Whilst still out on loan at Nantwich, Brunt played and scored in a reserve match for Stoke against Rotherham United. He impressed watching Luton Town managerGary Brabin who signed Brunt on a month's work experience on 16 November 2011. He made six appearances for Luton before returning to Stoke after an extension could not be agreed. On 27 January 2012, Brunt joined League One club Tranmere Rovers on a one-month loan. He made his Football League debut as an 85th-minute substitute in a 1–1 draw at home to Huddersfield Town. He scored his first professional goal with a low shot from a Martin Devaney cross in a 1–1 home draw with Charlton Athletic on 18 February 2012. Brunt extended his loan with Rovers for a second month. On 17 July 2012, Brunt joined League One club Leyton Orient on a six-month loan. He scored his first goal for Orient in a 1–0 win over Brentford at home on 13 September 2012, despite appearing to be in an offside position. He ended his loan spell with Orient having scored three goals in 22 appearances.
Brunt joined League Two club Bristol Rovers on 23 January 2013 on a two-and-a-half-year contract. He made his debut for Rovers in a 3–1 away win over Rotherham United on 26 January 2013, being fouled for a penalty kick that was scored before being substituted after 81 minutes. He scored his first goal for Rovers with a shot from a narrow angle during injury time of his home debut against Barnet in a 2–1 victory. Brunt joined League Two club York City on 30 September 2014 on a one-month emergency loan, with his debut coming in a 0–0 home draw with Portsmouth on 4 October. He made six appearances for York before the loan expired on 1 November 2014. Brunt returned to Bristol Rovers and started the matches against Tranmere Rovers, Alfreton Town and Kidderminster Harriers before the arrival of Nathan Blissett and Bradley Goldberg on loan pushed Brunt back down the pecking order at Rovers. He was loaned out again on 27 November 2014, this time to League Two side Stevenage until January 2015.
On 20 January 2015, Brunt signed for League Two club Plymouth Argyle on an 18-month contract. Brunt suffered a serious knee injury in the 1–0 away defeat to Barnet on 1 March. This sidelined him for over nine months, missing the entire first half of the 2016–17 season. He was released by the club at the end of 2016–17, and turned down the opportunity to train with the club in pre-season.
Brunt signed for League Two club Exeter City on 1 August 2017 on an undisclosed-length contract following a successful trial. He was released by Exeter at the end of the 2017–18 season. Brunt signed for National League South club Bath City on 30 June 2018 on a one-year contract.
