The horse, who was owned by Gigginstown House Stud and trained by Gordon Elliott, was last seen securing a fourth-placed finish at the Cotswold Chase at Cheltenham last month.
In his own statement posted on X (formerly known as Twitter), Elliott said: "Sadly Delta Work has passed away this morning at the age of 12 after a bout of colic.
Former Cheltenham winner and Grand National runner-up Delta Work had died at the age of 12 after a bout of colic.
Delta Work was best-known for winning the Glenfarclas Cross Country Chase in 2022 and 2023, with the initial victory coming against his Grand National-winning stablemate Tiger Roll.
Overall, the 12-year-old won 12 of his 40 career outings, including the the 2020 Irish Gold Cup, and he was being prepared to run the Glenfarclas Chase for a third time in addition to a fourth run at Aintree.