The new hospitals, which will be multi-speciality, would come up at Shalimar Bagh in Delhi, Bhatinda and Mohali in Punjab and Dehradun.
These would focus on heart diseases, trauma and cancer, he said, adding the hospitals at Bhatinda and Mohali would be under a public-private partnership mode with the Punjab government.
Max Healthcare, which presently runs six hospitals and two centres, is also planning to enter into medical education in near future.
"We are also planning to foray into medical education space but that would be three years from now," Ahmed said.
One of the prominent hospital chains in the country, Max Healthcare at present has a capacity of over 930 beds.