The other 17 places will be offered to students through the universities' other application routes.
Auckland University will increase the number of students on its Regional and Rural Admissions Scheme from 40 to 52 from 2015. Meanwhile, Otago University has increased its number from 50 to 55 from the same year.
"There are record numbers of doctors and nurses working in our public hospitals and we are committed to continuing to increase the number of frontline health staff," said Mr Ryall.
Latest Ministry of Health data from March 2014 showed 7518 doctors and 21,598 nurses are employed by district health boards - over 1500 more doctors and 3200 more nurses than in 2008.