The 46-year-old number one seed defeated his 26-year-old opponent 7-3 in Sunday's final at Lakeside.
Noppert, seeded third, led 2-1 before Teessider Durrant came back strongly.
"In 1989, I watched a match between Eric Bristow and Jocky Wilson that inspired me to pick up a set of darts," Durrant told Channel 4.
"Now, thanks to hard work, determination and Teesside steel, I am world champion."
On Saturday, England's Lisa Ashton won her third women's title, beating Australian Corrine Hammond 3-0 in the final.

The pursuit, between junctions six and 10 in Surrey, took place as commuters drove to work on 11 April.
Jonathan Lewis, 44, of Long Walk, Epsom, admitted one charge of dangerous driving and one count of having no insurance at Guildford Crown Court.
He was remanded in custody and will be sentenced on 10 June.
Lewis was chased by two police vehicles after his Peugeot was involved in a crash with another car on the A25 at Oxted.
Officers pursued him along the M25 towards Heathrow before he was stopped on the A3.

4 January 2015 Last updated at 10:51 GMT
People living near the area reported hearing loud banging noises coming from the Screggagh wind farm for around two days.
Debris from the turbine has been scattered over hundreds of metres but no one has been hurt.
It's not clear what caused the collapse but bad weather isn't thought to be a factor, as there were no storms or high winds at the time.
The company who operate the wind farm are now investigating.
Turbine 3 was one of eight turbines on the wind farm and is worth more than half a million pounds.

The whales were spotted along a stretch of beach on Monday evening.
Locals together with teachers and students of a local college tried to float the whales back out to sea, but they kept returning to the shore.
The last time such an incident occurred in Tuticorin, was in 1973 when 147 whales died.
"At least 45 whales are dead and about 36 others which were rescued and pushed back into the sea are still in the vicinity of the shore,'' Dr Patterson Edward, director of the Tuticorin-based Sugandhi Devadasan Marine Research Institute, told BBC Hindi's Imran Qureshi.
Whale expert  Kumaran Sathasivam said it is "very difficult" to rescue stranded whales because they all need to be pushed into the sea at the same time.
"Otherwise, they will return to be with the whale that is in distress. The whales emanate a sound that is not audible to human beings and that makes them return to the shore," he said.
"Also, because of their weight they are not able to get back into the water and their bodies gets overheated, and they die on the shore. You need to constantly pour water on them because their bodies are covered in a layer of fat."
He said it was hard to know if the whales that had been pushed back would survive because there was a strong possibility that they would be too exhausted to swim out to sea.
England's Glen Durrant secured his first BDO World Darts Championships title with victory over Dutchman Danny Noppert.
[NEXT_CONCEPT]
A driver who careered between lanes of the M25 at up to 90 miles an hour while being pursued by police has admitted dangerous driving.
[NEXT_CONCEPT]
An 80-metre tall wind turbine has collapsed on a mountainside in County Tyrone, Northern Ireland.
[NEXT_CONCEPT]
At least 45 whales have died in the southern Indian state of Tamil Nadu after more than 80 of the animals were stranded on the shore at Tuticorin.