Prince Teymuraz Bagration of Mukhrani (21 August 1912 – 10 April 1992) was a Georgian-Russian nobleman and an émigré in the United States where he served as President of the Tolstoy Foundation, a New York-based charitable organization.

His father, Prince Konstantin Bagration-Mukhransky (1889–1915), a member of the Mukhrani branch of the Bagration family, formerly a royal dynasty of Georgia, was an Imperial Russian Army officer and was killed in World War I. Teymuraz's mother, Princess Tatiana Constantinovna of Russia (1890–1979) was a member of the imperial Romanov dynasty of Russia.

On 5 July 2007, Bagration's unique archive was presented by his second wife, Princess Irina, to the National Parliamentary Library of Georgia.

The first time he was married in Belgrade to Katarina Račić (4 Jul 1919, London - 20 December 1946), grand-daughter of Serbian Prime minister Nikola Pašić on 27 October 1940.

Irina was an older sister of Countess Xenia Czernyshev-Besobrasov, who married 1953 Archduke Rudolf Syringus, youngest son of Karl I of Austria, the last Austrian Emperor.