While the new IITs would be located in Orissa, Madhya Pradesh (Indore), Gujarat and Punjab, the IIMs would come up in Tamil Nadu, Jammu and Kashmir, Jharkhand, Chhattisgarh (Raipur), Uttarakhand and Haryana.
These new institutions would be part of the eight IITs and seven IIMs proposed to be set up during the 11th Five Year Plan.
Government has already announced establishment of four IITs in Andhra Pradesh, Rajasthan, Bihar and Himachal Pradesh and one IIM at Shillong.
The location of the new higher education institutions has been approved by Prime Minister Manmohan Singh, HRD Minister Arjun Singh told reporters here.
In addition, he said the Government proposed to convert the Institute of Technology of the Banaras Hindu University into an IIT. Admission to this Institute was already based on the IIT-Joint Entrance Examination.
Singh said it is also proposed to establish during the 11th five year plan period 14 Universities with world class standards and 16 universities in states which do not have a Central University at present.