Noah claimed he suffered "serious personal injury" after his surgery, and described the nature of his injuries as "permanent, severe, and grievous" which have left him "sick, sore, lame, and disabled".
The lawsuit added: "[Noah] sustained severe and painful personal injuries; sustained severe nervous shock, mental anguish, severe emotional distress and great physical pain; was confined to bed and home for a long period of time; was compelled to undergo hospital and medical aid, treatment and attention; has suffered loss of enjoyment of life; was prevented from engaging in his usual occupation for a long period of time; and since some of his injuries are of a permanent nature, he will continue to suffer similar damages in the future."
The hospital has insisted the lawsuit's claims are "meritless".
A representative for the facility said: "HSS received a complaint filed on behalf of Mr Trevor Noah. We have shared with Mr Noah's attorney a detailed rebuttal to the claims, which are meritless.
"Due to HIPAA we are restricted by law from addressing publicly specific aspects of the treatment of any patient."