The ballot opened on 18 June and will close on 26 June with a majority required to end strike action.
Secretary of state for health and social care, James Murray, said: ‘This transformative offer improves the pay, working conditions and job prospects of hardworking resident doctors. It is a very good offer, and it's one that will not get any better.
‘We now all have a chance to draw a line under the disruption of strikes and focus on getting on with the job of caring for patients and fixing our health service.'
The offer, which led to the cancellation of planned strikes this month, includes an average pay rise of 4.9% this year, with higher pay rises on average for the lowest paid first year and second year doctors - at 6.2% and 7.1% respectively.
In addition, an additional 4,500 training posts will be provided over the next three years, including 1,000 next year. Two hundred and fifty of these roles will start in February 2027.
Professor Francesca Swords, national medical director for the NHS, said: ‘We want the NHS to be the best place to work for resident doctors, and we know we haven't always got things right.
‘But we are turning things around: ending the frustration of payroll errors, providing faster turnaround on repaying expenses and offering more training places - and we will not stop this important work.
‘This offer agreed together with BMA will increase pay further for resident doctors, reimburse them for expensive exam fees, ensure they have better training and job opportunities, and improve working conditions further.
‘I hope resident doctors are already starting to feel the difference, and I hope that they recognise the further significant improvements this deal could make for them.'
