Deshpande has received multiple awards for his work, including the Warner T. Koiter Medal from the American Society of Mechanical Engineers 2022,
William Prager Medal, 2022, the 2021 Gili Agostinelli Prize, the 2020
Rodney Hill Prize in Solid Mechanics, the 2018 Sir William Hopkins Prize in Mathematical and Physical Sciences, and the 2003 Philip Leverhulme Prize. He was elected a
Fellow of the Royal Academy of Engineering in 2023 for "seminal contributions to the mechanics of engineering materials". He was elected a foreign member of the National Academy of Engineering in 2023 "for contributions to mechanics of microarchitected solids with applications to structures under extreme dynamic loading".{{cite web |title=Professor Vikram Deshpande == Selected publications ==