Rasmus Kristensen

Kristensen was born to a footballing family and began playing football in Brande IF when he was six years old. He played in the club for six years, before joining Herning Fremad where he played for two years. In 2012, Kristensen signed a youth contract with FC Midtjylland.

FC Midtjylland

Kristensen was promoted to the first team squad in summer 2016 at the age of 18 and signed a five-year professional contract. At the age of 18, Kristensen got his official debut for FCM on 7 March 2016, in a Superliga match against FC Nordsjælland. He started on the bench, but replaced Václav Kadlec in the 39th minute in a match, which FCM lost 1–2. He turned into a key player for the team in the 2016–17 season.

Ajax

On 23 January 2018, Kristensen joined Ajax on a four-and-a-half-year contract.

RB Salzburg

After one and a half years with Ajax, Kristensen moved to Austria and joined Austrian Football Bundesliga club FC Red Bull Salzburg on a five-year contract.

Leeds United

On 8 June 2022, Kristensen joined Premier League club Leeds United on a five-year contract for an undisclosed fee in the region of £10 million. He joined the team from 1 July 2022, and became Leeds's second confirmed arrival of the summer transfer window, reuniting with former Salzburg teammate Brenden Aaronson. He made his senior league debut for Leeds as part of the starting eleven in their season opener on 6 August with a 2–1 home win over Wolverhampton Wanderers. On 18 March 2023, he scored seconds after coming on as a substitute in Leeds' 4–2 win at Molineux against Wolverhampton Wanderers.

Loan to AS Roma

On 14 July 2023, Kristensen joined Serie A club AS Roma on a season long loan. He made his Serie A debut a month later, on 20…

In November 2020, he was called up to Kasper Hjulmand's senior squad due to several cancellations from, among others, the Danish national team players playing in England, due to the COVID-19 restrictions, as well as a case of COVID-19 in the squad, which had put several national team players in quarantine. He made his debut for the Denmark national football team on 4 September 2021 in a World Cup qualifier against the Faroe Islands, a 1–0 away victory. He started the game and was substituted at half-time.

Kristensen is the nephew of the former Sturm Graz player Sigurd Kristensen and is the cousin of Leon Jessen. His sister Naja is a professional handball player.