Bourdain's assets included $425,000 (AU$572,000) in cash and savings, as well as $250,000 (AU$330,000) in personal property, $500,000 (AU$670,000) in royalties and residuals, and $35,000 (AU$47,000) in a brokerage account.
A mortgage liability worth $1 million for an unlisted property is also cited in the will.
The 61-year-old's estranged wife, Ottavia Busia-Bourdain, is the executor of the will. Bourdain left Busia all his "personal and household effects", including cars and frequent flier miles, with instructions to "dispose of in accordance with what (she) believes to have been my wishes".
Per his will, written in 2016 shortly before he and Busia-Bourdain separated, the bulk of his money will go to the couple's 11-year-old daughter.
Anthony's will was filed in Manhattan Surrogate's Court on July 5. If she died prior to his death, that sum would have gone to her nanny, Myra Quizon.
Bourdain was in France working on Season 12 of "Parts Unknown" when he was discovered dead in his hotel room. He began dating actress Asia Argento in early 2017 and publicly supported Argento after she accused Harvey Weinstein of rape.
The court will choose a guardian of the estate to safekeep Ariane's inheritance until she is of age, according to the documents.
Audiences also saw the final episode of his CNN show.