The 73-year-old actor, who essays the role of a lawyer in the film, took to Twitter to make the announcement.
"'PINK' invited for a special screening of the film at UN Head Quarters, in New York by Assistant Secretary General...honoured," Amitabh posted.
The film is a courtroom drama, directed by Aniruddha Roy Chowdhury, written by Ritesh Shah, and co-produced by Rashmi Sharma and Shoojit Sircar.
"Pink" also stars Taapsee Pannu, Andrea Tariang and Kirti Kulhari in lead roles.
It released on September 16.