The cars have to be ordered by 31 December 2017 and the trade-in vehicle needs to have been owned by the customer for at least six months.
This offer can be used on top of any other offers from the dealer/manufacturer/finance company. Toyota's offer Is £4,000 off for models over seven years old.
Volkswagen-owned brands Audi, Skoda and SEAT are also participating in the program.
Audi's scrappage scheme offers between £2000 and £8000 off its range - the smallest £2000 saving applied to the Q2 and the largest £8000 saving offered on its Q7 e-tron plug-in hybrid.
The news of the diesel scrappage scheme comes around two years after Volkswagen was rocked and the auto industry itself was rocked by the revelations of the dieselgate scandal.
Available immediately at all Kia dealers, the scheme guarantees the scrappage bonus on Kia's latest small cars when any old vehicle is traded in for destruction.
Ford's "New for Old" scrappage scheme offers motorists the opportunity to save between £2,000 and £4,950 when they trade in their old vehicle - petrol or diesel - for a new Ford motor.
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Wubbels refused, because Payne didn't have a warrant "or meet any of the mandatory criteria needed for taking blood". And when a patient comes in a critical state, that blood is extremely important and I don't take it lightly".
As a result, the European Union has introduced a reinvigorated and tougher emissions-testing regime for new cars, which includes using specialist equipment to examine the exhaust emissions of a vehicle as it drives on the open road.
Through a new scheme created to get older polluting cars off the road, potential buyers can get incentives of between 1,800 and 6,000 pounds ($2,324 and $7,747) for a new Volkswagen if they trade in an older vehicle.
Hyundai has said that all Euro 1-3 cars they receive will be scrapped, while owners of Euro 4 models will be able to simply trade them in without having to commit their auto to being destroyed.
The incentives are to encourage take-up of vehicles with Euro VI standard engines, which the industry claims reduce emissions of nitrogen oxides from diesel in particular - although independent studies have indicated that most modern vehicles emit far higher levels of pollution than advertised.
Savings can hit £10,000 ($13,000) when combined with government grants offered on new electric models.
Toyota confirmed that the scrapped vehicles will be handled at authorised treatment facilities, and at least 95% of the auto components by weight will be recycled. The Zoe electric vehicle is not included, though.
VW says the trade-in diesel model will definitely be scrapped, and the scheme runs from now until 31 December.