Heshmat is a given and surname. The following individuals have the name:

;Given name
  • Heshmat Fahmi, a member of the Pan-African Parliament and a member of the People's Assembly of Egypt
  • Heshmat Mohajerani (born 1938), an Iranian football coach, manager, and former player
  • Heshmat Sanjari (1918–1995), an Iranian conductor and composer
  • Heshmat Tabarzadi, an Iranian democratic activist
  • Heshmat Taleqani a physician in Lahijan and one of Mirza Kuchak Khan allies during the Jangal movement

  • Hassan Heshmat (born 1920), an Egyptian sculptor
  • Hooshang Heshmat, CEO and co-founder of Mohawk Innovative Technology