Born and raised in a motorsport-loving family, Price began riding motorbikes at the age of two and started winning races at four. His father, John Price, is a former off-road buggy Australian champion. As a junior competitor, living in Roto and then Hillston, Price frequently won New South Wales and Australian junior titles from around 1994 to 2003. In 2003, he won both the 15 Years 125cc class and the 13–16 years 250cc 4-stroke divisions at the Australian Junior Motocross Championships, just 12 weeks after breaking both wrists in a training accident.
Price began his professional career in Australia in 2004, aged 16. After winning two Australian junior titles in 2003, he was signed by Kawasaki Australia and relocated from Hillston to Singleton. In 2009, riding for Kawasaki, Price won the Australian Off-Road Championship in his first year of competition, also earning the Australian Dirt Bike magazine Rookie of the Year title. He was selected to represent Australia in the 2009 Enduro in Portugal, finishing 14th in the world and the fastest under-23 years rider.
Riding for KTM in 2010, Price won several major Australian Off-Road titles: the AORC, Finke (on his first attempt), Hattah (also on his first attempt), and the A4DE. In 2011, despite a fuel mishap in the first round of the AORC and a mechanical failure in the Finke Desert Race, Price again won numerous off-road races in Australia, including rounds 2, 3 and 4 of the AORC, Hattah and the A4DE. A mid-season injury impacted his AORC title chase, leaving him in ninth place overall. He was selected for the Australian team at the 2011 International Six Days Enduro (ISDE) in Finland, finishing fourth in the E2 class and eighth overall, the highest finishing Australian.
In 2012, Price won the Pro Class Melbourne Enduro-X, the Finke Desert Race, and the Hattah Desert Race. He also secured the AORC title, the first time it had been won from the E3 class, winning eight of the ten rounds and finishing second in the other two. Representing Australia at the 2012 International Six Days Enduro in Germany, Price led the Australian team to second place in the world. Despite a bent front wheel from the first day, he was leading the E3 class and fifth overall at the halfway mark, before breaking ribs in an incident. He continued the competition, finishing second in the E3 class and tenth overall. Two weeks after returning from the ISDE, Price won the E3 class at the A4DE, finishing second overall while still riding with broken ribs.
2014 saw Price win round 1 of the AORC, and then rounds 5, 6, 9, 10 and 11, becoming the only rider to win the AORC four times. He also won the Finke Desert race for the third time, followed by the Hattah Desert Race in July. He won all three rounds of the Western Australian Desert Tri-Series, the Kumarina 500, Doorawarrah 500 and Indee 500. Price showed his versatility by finishing eighth in the Morocco Rally, his first attempt at International Cross-country Rallying. At the International Six Days Enduro (ISDE) in Argentina, he won the E3 class, finishing second overall by 45 seconds after six days of racing.
In April 2013, while riding for KTM America in the AMA Hare and Hound National Championship in California, Price crashed, breaking three bones in his neck and his thumb. Following a major operation to repair his neck, he was unable to ride until September. He returned to America and joined the KTM America team (though not riding) for the November Baja 1000, where his teammate Kurt Caselli was killed.
In January 2017, while leading Stage 4 of the Dakar Rally, Price crashed and broke his left femur. Eight weeks later, he was back in the driver’s seat at the Adelaide Clipsal 500 in the Stadium Super Trucks. In February 2020, during Stage 7 of the Dakar Rally, Price was first on the scene and stopped for an hour and 20 minutes to try to assist Paulo Gonçalves, who later died from injuries sustained in a crash. Stage 8 of the rally was cancelled for the motorbikes and quads following Gonçalves' death.
Price remains an active competitor as of 2024.
Price has also competed in Stadium Super Trucks, making guest appearances at the Clipsal 500 in Adelaide in 2015, and returning in 2018 and 2019. He also raced in the Boost Mobile Super Trucks series in 2020 and 2021, winning his first career SST race in July 2021. In 2023 and 2024, Price competed in car racing, winning the Finke Desert Race in a car for three consecutive years (2021, 2022, 2023) and the 2024 Baja 500 in a SCORE Trophy Truck.
Price was awarded the Medal of the Order of Australia for service to motorsport in the 2021 Australia Day Honours List. He was also awarded the inaugural Ronald J Walker Award for Excellence by the Australian Motor Sport Hall of Fame in March 2019. He has secured sponsorships with Toyota Gazoo Racing W2RC, Red Bull, Black Rock Motor Resort, ROH Wheels, Can-Am, ARB 4x4 Accessories, Peter Kittle Motor Company, Oakley, MoTeC, Alpinestars, PWR Advanced Cooling Technology, Albek, Vietnam Motorbike Tours, KTM and Kawasaki motorcycles.