The ‘Switch and Save’ promotion will offer a minimum of £2,000 to customers trading in cars that are between six and ten years old.
However, the scheme will not apply to the Chevrolet Spark and Matiz models and is not available for cars bought since 1 January 2010.
Chevrolet are, however, offering an extending five year warranty and three years free servicing on Aveo and Cruze models until 30 June 2010.
"We want to show our customers that even now the scrappage scheme has ended, Chevrolet cars still offer enormous value for money," said Chevrolet UK Managing Director, Mark Terry.
"Indeed, many of them realised this even without the scrappage scheme as an incentive, and with Switch and Save we can reward those who may not have been able to take advantage of scrappage because their old car wasn’t old enough," he continued.
Swappage schemes have proved successful for Vauxhall and Kia this year as manufacturers attempt to offset any fall in demand for new cars at the end of the government scrappage scheme, which ended in March.
Nearly 400,000 cars were bought under the scrappage scheme, accounting for one fifth of all new car registrations since May 2009.