The offer runs from Thursday 20 November until Wednesday 24 December.
Those parking prior to 5pm will only be required to purchase a ticket until 5pm, whilst for those arriving after this time parking will be absolutely free.
Cllr Rosie Denham, Lead Councillor for Economy & Culture, said: "We wanted to offer something in the way of a seasonal thank you to our many car park customers and at the same time encourage people to come into Exeter to enjoy the evening shopping and dining experience."
Late night shopping starts on Thursday (20 November), when the Christmas lights will be switched on, and continues each Thursday until 18 December.
The free offer for car parking does not include the three Pay on Foot sites at the Guildhall, Mary Arches Street or John Lewis sites.