In 1962, Meredith won a Best Supporting Actor award from the National Board of Review, for Advise & Consent, and in 1985 he was nominated for a CableAce Award for his performance in Answers.
In 1962, Meredith memenangi penghargaan Best Supporting Actor dari National Board of Review, melalui karya Advise & Consent, dan tahun 1985 dia dinominasikan dalam CableAce Award untuk penampilannya dalam Answers.