The Academy confers its fellowship upon eminent scientist from India/abroad for their outstanding contributions to their field of research. Following is the list of Fellows of IAPS:
1. Prof. R. S. Mishra (Late) (Mathematics), Lucknow,1996
2. Prof. R. K. Singh (Physics), Raipur, 1996
3. Prof. T. Pati (Mathematics), Allahabad, 1997
4. Prof. H. L. Nigam (Chemistry), Lucknow, 1997
5. Prof. F. Fava (Mathematics), Turin, Italy, 1997
6. Prof. M. D. Tiwari (Physics), Allahabad, 1997
7. Prof. H. P. Dikshit (Mathematics), Bhopal, 1999
8. Prof. O. N. Srivastava (Physics), Varanasi, 1999
9. Dr. Rama Shukla (Computer Science), Intel Corp. USA, 1999
10. Prof. N. K. Sanyal (Late), (Physics), Gorakhpur, 2001
11. Prof. Ramesh Chandra (Chemistry), Jhansi, 2001 / 2002
12. Prof. H. D. Pande (Mathematics), Gorakhpur, 2001
13. Prof. Satya Deo (Mathematics), Rewa, 2001 / 2004
14. Prof. R. P. Misra (Geography), New Delhi, 2002
15. Prof. J. N. Kapur (Late) (Mathematics), New Delhi, 2002
16. Prof. K. B. Pandeya (Chemistry), Allahabad, 2002
17. Prof. Ravi S. Kulkarni (Mathematics), Mumbai, 2004
18. Prof. H. I. Freedman (Mathematics), Alberta, Canada, 2004
19. Prof. S. K. Joshi (Physics), New Delhi, 2005
20. Prof. C. L. Khetrapal (Chemistry), Lucknow, 2005
21. Prof. S. K. Dubey (Atmospheric Science), Kharagpur, 2006/2007
22. Prof. J. B. Shukla (Mathematics), Kanpur, 2007
23. Prof. R. P. Iyer (Chemistry), USA, 2007
24. Prof. Krishna Lal (Physics), New Delhi, 2007
25. Prof. K. S. Pandey(late) (Material Science), Bhopal, 2007
26. Prof. J. V. Yakhmi (Physics), Mumbai, 2007
27. Dr. Kaushala Prasad Mishra (Chemistry), Allahabad, February, 2010
28. Prof. N. Rudraiah (Mathematics), Bangalore, February, 2010
29. Prof. Bindhyachal Rai (Mathematics), Allahabad, February, 2010
30. Prof. Ram Naresh Prasad Choudhary (Physics), Kharagpur, February, 2010
31. Prof. Ms. Kamal Singh (Physics), Nagpur, December, 2010
32. Prof. K. K. Dwivedi (Chemistry), New Delhi, December, 2010
33. Prof. J. N. Pandey (Mathematics), Canada, June 2011
34. Prof. Stanislav Zalis (Chemistry), Czech Republic, June 2011
35.Prof. D. K. Bhattacharya (Mathematics), Kolkata, June 2011
36.Prof. P. K. Bajpai (Physics), Bilaspur, June 2011
37.Prof. Lallan Mishra (Chemistry), Varanasi, June 2011
38.Prof. V. D. Sharma ( Mathematics), Mumbai, Dec. 2011
39.Prof. Sunney I. Chan (Biophysical Chemistry), Pasadena, CA, USA, Dec. 2011.
40.Prof. H. M. Srivastava (Mathematics), Victoria, British Columbia, Canada, Dec. 2012
41.Prof. Dhananjay Pandey (Physics), IIT, BHU, Varanasi, India, Dec. 2012
42.Prof. Mikio Nakamura (Chemistry), Toho University, Funabashi, Japan, Dec. 2012
43.Prof. Sompong Dhompongsa (Mathematics), Chiang Mai, Thailand, Dec. 2012
44.Prof. Roman Dabrowski (Chemistry), Military University of Technology (MUT), Warsaw, Poland, March 2014
45.Dr. Pitamber Singh , Ion Accelerator Development Division at BARC, Mumbai, India, March 2014
46.Prof. Gokulanand Das, Ex Vice – Chancellor Utkal University, Bhubaneswar, India, March 2014
47. Prof. Ram N. Mohapatra, Department of mathematics, University of Central Florida 4000,Central Florida Blvd. Orlando, FL 32816-1364,March, 2014
48.Dr. Poom Kumam, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand, March 2014
49.Prof. P.R. Sharma, Prof. & Ex. Head Department of Mathematics Dean, Faculty of Science University of Rajasthan, Jaipur Pin- 302004 , January 2015
50.Prof. Michel Nguiffo Boyom, Department of Mathematics, University of Science and Techniques of Languedoc, 34060 Montpellier FRANCE, January 2015
51.Prof. Hitoshi Ohta, Molecular Photoscience Research Center, Kobe University, 1-1 Rokkodacho, Nada, Kobe 657-8501, Japan, January 2015.
52.Prof. B. K. Agrawal, Department of Physics, University of Allahabad, Allahabad, India, December 2015
53.Dr. Shiv Gopal Mishra,(Chemistry), Pradhanmantri Vigyan Parishad, Allahabad,India, December 2015
54.Prof. Uday Chand De, (Mathematics), University of Calcutta, Kolkata,India,December 2015.
55.Prof. Bhudev Sharma, Former Professor of Mathematics, Clark Atlanta Uni., Atlanta, USA, October 2016.
56.Prof. H. S. Dhami, Vice- Chancellor, Kumaun University, Nainital, October 2016.
57.Prof. Anand Prakash Pathak, Professor, Physics IIIT (RGUKT) Basar, (Telangana),India, July 2017.
58. Prof. Daya Shankar Pandey, Department of Chemistry, Institute of Science, BHU, Varanasi - 221 005 (U.P.), India, July 2017.
59. Prof. Purshotam Chaturani, Retd. Professor (Mathematics), IIT Bombay, (Maharashtra), India, July 2017.
60. Prof. Girijish Prasad (Applied Mathematics), Ulster University, U. K., October 2017.
61. Prof. P. Nagabhusan (Computer Science), Director, IIIT, Allahabad, (U. P.), India, October 2017.
62. Prof. Ram Man Shreshtha (Mathematics), Academician, Nepal Academy of Science & Technology (NAST), Kathmandu, Nepal, October 2017.
63. Prof. O. D. Makinde (Mathematics), Distinguished Professor of Applied Mathematics and Computations, Faculty of Military Science, Stellenbosch University, South Africa, April 2018.
64. Prof. Tankeshwar Kumar (Physics), Vice- Chancellor, Guru Jambheshwar University of Science and Technology, Hisar (Haryana), India, April 2018.
65. Prof. S. N. Upadhyay (Chemistry), Department of Chemical Engineering & Technology, IIT-BHU, Varanasi (U. P.), India, April 2018.
66. Prof. Avinash C Pandey (Physics), Director, Inter University Accelerator Centre, Aruna Asaf Ali Marg, New Delhi, November 2018.
67. Prof. Kattera A Suresh (Physics), Honorary Professor, Centre for Nano and Soft Matter Sciences, Jalahalli, Bengaluru, August 2019.
68. Prof. Sabu Thomas (Chemistry), Vice Chancellor, Mahatma Gandhi University, Priyadarshini Hills, Kottayam, Kerala, December 2019
69. Prof. Yogesh Chandra Sharma (Chemistry), Department of Chemistry, IIT-BHU, Varanasi (U. P.), India, December 2019
70. Prof. Ashok Kumar Mishra (Physics), The Institute of Mathematical Sciences (I.M.Sc.), Chennai, December 2019
71. Prof M S Mahadev Naika, Mathematics, Bangalore University, Bengaluru (2019/2021)
72. Prof Ramasami Ramaraj, Chemistry, Madurai Kamaraj University, Tamilnadu (2020/2021)