In 1984, he was awarded the Alexander von Humboldt Senior Scientist Award.
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He was honoured with the Humboldt Prize in 1993, and the Jacob and Wilhelm Grimm Prize from the German Academic Exchange Service in 1997.
He received numerous awards and honors during his lifetime, including membership in the American Academy of Arts and Sciences (1983), the Humboldt Prize (1985), the UCI Medal (1990), and the Daniel G. Aldrich Award for Distinguished University Service (1993).
Valery Pokrovsky received for his outstanding work several awards, including the Landau Prize of the Soviet Academy of Science in 1984, the Humboldt Prize in 2000, and the Lars Onsager Prize of the American Physical Society in 2005.