As you are asking for list of Indian Institute of Technologys (IITs) institution which come under MHRD (Ministry of Human Resource Development) to conducted IIT JEE exam, so on your demand I am providing same for you:

S.No. Name of the Organisation
1 Indian Institute of Technology (IIT)
Gandhi Nagar (Mentored by IIT, Bombay Temporarily at : Vishwakarma Govt. Engineering College, Chandkheda, Ahmedabad

2 Indian Institute of Technology (IIT)
Bhubaneshwar (Mentored by IIT, Kharagpur) Temporarily at : Samantauri, Bhubaneswar

3 Indian Institute of Technology (IIT)
P.O. IIT, Chennai-600036

4 Indian Institute of Technology (IIT)
North Guwahati, Guwahati – 781039

5 Indian Institute of Technology (IIT)
Indore (Mentored by IIT, Bombay) Temporarily at : Institute of Engineering & Technology, DAVV Campus, Khandwa Road, Indore - 452 017

6 Indian Institute of Technology (IIT)
P.O. IIT, Kanpur - 208076

7 Indian Institute of Technology (IIT)
Jodhpur, Old Residency Road, Ratanada, Jodhpur 342011

8 Indian Institute of Technology (IIT)
P.O. Kharagpur - 721302

9 Indian Institute of Technology (IIT)
Hyderabad (Mentored by IIT, Madras) Temporarily at : Ordinance Factory, Medak

10 Indian Institute of Technology (IIT)
Powai, Mumbai - 400076

11 Indian Institute of Technology (IIT)
Patna (Mentored by IIT, Guwahati) Temporarily at : Navin Govt. Polytechnic, Patliputra Colony, Patna - 800013

12 Indian Institute of Technology (IIT)
Hauz Khas, New Delhi - 110016

13 Indian Institute of Technology (IIT)
Ropar (Mentored by IIT, Delhi) Temporarily at : Nangal Road, Rupnagar, Punjab

14 Indian Institute of Technology (IIT)
Mandi (Mentored by IIT, Roorkee) Temporarily at : IIT Mandi Cell, Hafiz Mohammad Ibrahim Building, (Old Central Library). IIT Roorkee, Roorkee - 24766

15 Indian Institute of Technology (IIT)
Roorkee - 247667

16 Indian Institute of Technology (Banaras Hindu University)
Varanasi - 221005