The Driver and Vehicle Licensing Agency already asks if applicants want to be donors - but from Monday an online form will require that the answer is stated.
Ministers hope it will help improve organ donation rates.
Less than a third of people are signed up to be organ donors - despite research suggesting that nine in 10 would he happy to be one.
Debate The situation has prompted much debate in recent years about how best to improve rates.
Some have called for presumed consent, where it is assumed an individual wishes to be a donor unless he or she has opted out by registering their objection.
What is nudge?
- It is an idea based on a book by Richard Thaler and Cass Sunstein which advocates influencing behaviour by altering the context or environment in which people choose.
- It differs from traditional approaches to changing lifestyles which tend to be more overt.
- Conventional measures might include steps such as bans, using tax to increase price or promotional campaigns.
- But nudge tends to be more subtle, perhaps involving the provision of information about social norms or changing the environment, such as installing fewer lifts in a building to encourage people to use the stairs more.
- As well as working on organ donation, the Cabinet Office "nudge unit" will be looking at tax self-assessment and stop smoking services.
As well as becoming compulsory to answer the question, the section will be moved from the end to the start of the DVLA process, so when applicants from England, Wales and Scotland apply for new or replacement licences they will have to say whether they want to become an organ donor or not.
When a similar scheme was introduced in the US state of Illinois, donor registration jumped from 38% to 60%.
Public health minister Anne Milton said the move was aimed at encouraging people to discuss the issue more and make it easier for them to sign up.
"Being an organ donor is a truly selfless act and a life-saving gift to someone in need," she added.