Huws started his career with a five-year spell at Swansea City, since he was seven, before he was signed by Premier League club Manchester City in 2009. He developed to become captain of the club’s under-21 side.

He joined Northampton Town of League Two on a three-month loan deal in October 2012. He made his debut for the “Cobblers” on 13 October, in 3–0 win over Exeter City at Sixfields. He received public praise from manager Aidy Boothroyd and captain Kelvin Langmead. After making ten appearance, Huws’ loan spell at Northampton Town came to an end.

Huws won his first cap for the Wales U21 team in 2012, having previously won caps for Wales at under-17 and under-19 levels. He made his debut for Wales’ under-21 side on 10 September 2012 in a 5–0 defeat to the Czech Republic. He scored his first international goal on 14 August 2013, scoring Wales’ only goal in a 5–1 loss to Finland.

He scored for City in the 2012–13 season of the NextGen Series youth tournament, in a 3–1 win over Fenerbahçe at Ewen Fields. After returning from a loan spell at Northampton Town, Huws made his debut for Manchester City on 15 January 2014, coming on as a substitute against Blackburn Rovers in an FA Cup third-round replay. On 5 August 2014, Huws signed a two-year contract with the club, keeping him until 2016.

On 28 January 2014, Huws joined Football League Championship club Birmingham City on an initial one-month youth loan. He went straight into the starting eleven for the match at home to Derby County on 1 February, and his stoppage-time shot rebounded off the post for Federico Macheda’s equaliser. The loan spell was extended until the end of the season, and Huws was voted Birmingham’s player of the month for February. After 69 minutes of the home match with Burnley on 12 March, Huws chested the ball down and volleyed past the goalkeeper from 25 yards (23 m) for his first goal for the club, and Birmingham’s second in a 3–3 draw. He scored his second goal in a 3–1 loss away to Middlesbrough, with a stunning thirty-five yard shot that led to the club’s ‘Goal of the Season’ voting to be relaunched, with Huws’ goal becoming a contender and ultimately winning it.

On 22 July 2014, Huws signed for Wigan Athletic on a six-month loan. Huws made his Wigan Athletic debut in the opening game of the season, in a 2–2 draw against Reading.

After making five appearance in the first month to the season, Huws’ move was then made permanent on 1 September 2014, with Huws signing a four-year contract. Because of his move to Wigan was made permanent, Swansea City, his first youth club, received £250,000, due to a ten per cent sell-on clause agreed. Huws’ first game after signing for the club on a permanent basis came on 13 September 2014, in a 3–1 loss against Blackburn Rovers. However, Huws made sixteen appearance for the club after being on the sidelined with injuries for the most of the time. By May, Huws was making progress of recovering from injury.

Huws made his senior debut for Wales in a friendly against Iceland on 5 March 2014. In the absence of fellow midfielders Aaron Ramsey, Joe Ledley and David Vaughan, Huws took on the holding midfield role and played the whole match as Wales won 3–1. He won 3 further caps in 2014, including appearances against Moldova and Belgium in the 2016 UEFA European Championship qualifiers.

On 27 August 2015, Huws joined Football League Championship side Huddersfield Town on loan for the 2015–16 season in a move which saw Jordy Hiwula go in the other direction. However, Huws’ decision to join Huddersfield Town was criticised by Manager Gary Caldwell, though he welcomed him to play for the club again.

He scored his first international goal on 13 November 2015, coming on as a second-half substitute for Joe Ledley, he converted a Joe Allen cross to bring Wales back to 2–2 against the Netherlands. However Wales went on to lose the game 3–2.

On 12 August 2016, Huws joined Football League Championship side Cardiff City for an undisclosed fee on a three-year deal. He made his debut two days later as a substitute, replacing Lex Immers during a 2–0 defeat against Queens Park Rangers.

In May 2016, Huws was listed for the 29-man squad for a pre-Euro 2016 training camp. He made 2 appearances in friendlies against Ukraine on 6 March and against Sweden on 5 June. Huws was among six players to be cut for the Euro 2016 squad. Later that year, he was included in the Wales squad for the 2018 FIFA World Cup qualification. He won 4 caps during the group stages of Wales’ qualifying campaign, as Wales finished 3rd in Group D, failing to qualify for the 2018 FIFA World Cup as a result.

On 31 January 2017, Huws joined Championship side Ipswich Town on loan until the end of the 2016–17 season. He scored his first Ipswich goal during an away match against Aston Villa on 11 February 2017. He made 18 appearances during his loan spell at Portman Road, scoring 3 goals. In July 2017, Huws completed a permanent transfer to Ipswich, signing a four-year deal for an undisclosed fee.

He suffered from injury during his full season at Portman Road. After missing the start of the 2017–18 season due to an achilies injury he picked up during pre-season, he only managed to make 5 appearances before suffering a cartilage tear in his knee during a 2–0 defeat to Middlesbrough on 9 December 2017, ruling him out for the remainder of the season.

Huws remained on the sidelines for the entire 2018–19 season, due to a reoccurring problem with the knee injury he suffered in December 2017. He featured infrequently for Ipswich’s under-23 side whilst undergoing rehabilitation. He only featured in a single matchday squad during the season, being named on the bench, in a 1–0 win over Rotherham United at Portman Road on 12 January 2019, but did not make an appearance.

Huws was called up to the Wales squad in 2017 for friendlies against France and Panama, but had to withdraw from the squad on 17 November due to injury.

Huws made his first return to competitive first-team football since December 2017 on the opening day of the 2019–20 season, coming on as a 79th minute substitute in a 1–0 win against Burton Albion at the Pirelli Stadium. He scored his first goal following his return to the first-team on 8 October 2019, opening the scoring in a 4–0 home win over Gillingham in a group stage match of the EFL Trophy.