Dan began his racing career in 2008 when he began to compete in karting. He took his first championship podium in 2009 when he took second in the Super 1 National Honda Cadet Championship. From there, he went on to win three times in 2011 at the Super 1 National Comer Cadet Championship, MSA British Cadet Championship and the Comer Cadet Kartmasters British Grand Prix. From there, Ticktum took second at the 2013 Super 1 National KFJ Championship, 3rd in the 2013 KF3 South Garda Winter Cup and first at the KFJ Andrea Margutti Trophy. He went on to take second in the 2013 CIK-FIA European KF-Junior Championship and in the 2014 KFJ WSK Super Master Series before finishing his time in karting with third in the 2014 KFJ WSK Champions Cup.
Ticktum started his professional single seater racing career in 2015, graduating from karting to MSA Formula. Leading the early rounds of the championship, following an incident in Silverstone in which he overtook several cars under a safety car and crashed into a rival, he received himself a two-year ban from motorsport. He ended up serving a one-year ban after one year was suspended on the terms that there would be no further offences. He returned to racing in 2016, competing in the last round of the FIA European Formula 3 championship and then raced in the 2016 Macau Grand Prix, finishing 8th in the qualifying race and retiring from the main race. He also competed in the BRDC British Formula 3 Autumn Trophy with Double R Racing where he placed 4th with a win and a further podium. Between 2016 and 2017, Ticktum raced with MRF Racing in the MRF Challenge Formula 2000 where he took a single podium to finish 11th.
In January 2017, he was announced as a member of the Red Bull Junior Program. He raced in the Eurocup Formula Renault and Formula Renault NEC with Arden International, finishing 7th in the standings in the Eurocup with one win to his name. He competed as guest in the NEC. Later that year, he made his GP3 debut in Monza with DAMS, claiming a podium on his second full race weekend in Abu Dhabi. 2017 was the year Ticktum took his first Macau win where he raced with Motopark. He become well known in the racing world when he went to win Macau with the team for a second year in 2018.
In 2018, Ticktum competed in the FIA European Formula 3 championship with Team Motopark, leading in the early part of the season but eventually losing out and becoming vice-champion. Dan also went on to debut in Super Formula in 2018 with Team Mugen for two rounds to place 19th. He joined the team once more in 2013 but was dropped after 3 rounds and consequently lost his Red Bull backing. Ticktum joined Dragon Hitech GP that same year in the F3 Asian Winter Series where he took a podium and finished 9th. Alongside this, he raced in the Formula Regional European Championship with Van Amersfoort Racing where he placed 9th once again.
Ticktum went on to return to Macau in 2019 for a third year but only managed 13th, following a crash in qualifying.
FIA Formula 2 Championship
In 2018, Ticktum made his debut in FIA Formula 2 when he competed in the final round in Abu Dhabi with Arden.
For the 2020 season, Daniel will be joining the FIA Formula 2 championship full time with team champions DAMS in car number 2, alongside his team mate Sean Gelael.