Johri was born in Etah, India, on 10 June 1935. His father, Bhairon Prasad Johri, graduated from Veterinary College, Patna, and worked as lvestock officer, Allahabad, India. Johri's mother, Sarojini Johri, was a homemaker. Johri completed his high school at Narain College, Shikohabad, India, with 12th rank in the state merit list. He was awarded First Prize in Chiranjeevi Dhiri Singh Provincial English Debate. He completed his bachelor's degree in 1953 and master's in Applied Mathematics in 1956 from Allahabad University scoring high ranks in the merit list. In 1957 he was appointed as assistant professor in the Department of Mathematics Allahabad University, Allahabad. In 1960, Johri was appointed assistant professor in mathematics at Gorakhpur University, Gorakhpur India, where he was conferred PhD degree in 1966 on his thesis "Gravitational Waves in Bondi Space-Time". In 1967 Johri was awarded Commonwealth Fellowship for Post-Doctorate work at Department of Mathematics and Theoretical Physics, Cambridge University, where he worked in close collaboration on cosmological problems with Dr.Dennis Sciama and research scholars Friedrich Hehl, Fernando de Felice, George Ellis and Stephen Hawking for his postdoctoral program. In 1968 Johri was appointed reader in mathematics at Gorakhpur University. Between 1970 and 1972, Johri worked as UNESCO consultant to Government of Iran under United Nations Development Program at Teheran. Johri was elected a Fellow of Royal Astronomical Society of London in 1978. Johri accepted the position of professor of cosmology at the Mathematics Department of Indian Institute of Technology, Madras in 1980. In addition to teaching and advising PhD students, he introduced new courses on general relativity and cosmology. In 1984, he discovered the first model of 'power law inflation' under Brans–Dicke theory along with his student C.Mathizhagan. Johri worked on various visiting assignments at National University, International Centre for Theoretical Physics, Trieste, Copernicus Astronomical Institute, Polish Academy of Sciences, National University of Singapore, South West Technical University of Sydney; Australian National University, Canberra, Hansen Lab ), Stanford University, Cologne University, International Institute of Physics and Chemistry Brussels University. In 1995 Johri retired from Indian Institute of Technology and joined as CSIR Professor Emeritus in the Department of Mathematics & Astronomy at Lucknow University, Lucknow. In 2001, Johri got interested in dark energy during his visiting assignment at Fine Theoretical Physics Institute, University of Minnesota, he gave the theory of 'integrated tracking' of Quintessence Fields. His research work on 'Genesis of Quintessence' and 'Phantom Cosmologies' was published in reputed journals Physical Review D & Classical and Quantum Gravity.
Besides scientific research papers and popular science articles, Johri wrote several books on Mathematical Physics and Astrophysics. His research monograph Early Universe was published by Hadronic Press in 1996. Vinod Johri loved to compose verses in Hindi, Urdu and English during his leisure time.
Personal life
Johri was married to Aruna for 54 years. The couple had 2 sons Manoj, Vivek and 2 daughters Manisha and Anvita.