Born in Wolverhampton, West Midlands, Morgan-Smith began his career in the youth system at Crewe Alexandra. He went on loan to Northern Premier League First Division club Alsager Town late in the 2006–07 season. Morgan-Smith was released in the summer of 2007, before going on trial at Stockport County with 150 other players through the club's Just Search campaign. He was one of just two players signed by Stockport on 5 September 2007 on a one-year professional contract. He made his debut for Stockport on 3 May 2008, coming on as a 66th-minute substitute in a 1–0 home victory over Brentford. Morgan-Smith was released by the club a month later.
On 28 September 2010, he joined Conference Premier club Luton Town on a two-year contract. He played the same day in a 2–0 victory over Mansfield Town, scoring on his debut. Morgan-Smith scored a hat-trick for the club in a 4–0 FA Cup win against St Albans City on 23 October 2010. This led to him winning the award for Player of the Round. Morgan-Smith started 2011–12 on form, scoring nine goals in 13 league matches, before a succession of serious injuries kept him out for most of the remaining campaign. The uncertainty over his fitness led to Luton manager Paul Buckle releasing him from his contract in June 2012. He was taken on trial by League One club Doncaster Rovers during pre-season, scoring against Hull City in a friendly, but was not offered a contract.
Macclesfield Town
On 31 August 2012, Morgan-Smith signed for Conference Premier club Macclesfield Town on a one-year contract. He made his debut for the club on 1 September 2012 in a 4–1 defeat against his former club Luton Town. On 31 January 2013, he signed on loan for Kidderminster Harriers for a month. He made five appearances for the club, scoring in a 3–1 victory over Alfreton Town. He was recalled from his loan early by Macclesfield and went on to play in eight further matches, scoring twice. He was released at the end of the season after scoring four goals in 28 appearances.
Kidderminster Harriers
After training with Mansfield Town and his former club Luton Town in the summer of 2013, Morgan-Smith signed for Kidderminster Harriers on a short-term contract on 5 September 2013. He scored two goals in a 4–1 win against Forest Green Rovers on 8 October 2013. On 11 November 2013, he extended his contract until the end of the season after impressing with 3 goals in 11 appearances. Manager Gary Whild stated on 4 June 2014 that it was likely Morgan-Smith would be leaving the club. Morgan-Smith turned down the offer of a new contract.
Oldham Athletic
He signed for League One club Oldham Athletic on 21 July 2014 on a one-year contract, with the option of a further year.
Cheltenham Town
On 29 May 2015, Morgan-Smith signed a one-year contract with newly relegated National League club Cheltenham Town.
York City and A.F.C. Telford United
On 12 January 2017, Morgan-Smith joined National League club York City on loan until the end of 2016–17. On 21 May 2017, he started as York beat Macclesfield Town 3–2 at Wembley Stadium in the 2017 FA Trophy Final. He was released by Cheltenham at the end of 2016–17. On 30 June 2017, Morgan-Smith re-signed for York City permanently on a one-year contract. He signed for York's National League North rivals A.F.C. Telford United on 2 February 2018 on a one-and-a-half-year contract.
Alfreton Town
On 13 July 2019, Morgan-Smith joined Alfreton Town.
