Penned by Hanks' late friend Nora Ephron, the show opened April 1 to critical acclaim at the Broadhurst Theatre.
Ephron was a screenwriter, director, playwright and former New York Post reporter.
Producers of "Lucky Guy" touted the play as Ephron's "return to her journalistic roots."
"Her new play is about the scandal- and graffiti-ridden New York of the 1980s, as told through the story of the charismatic and controversial tabloid columnist Mike McAlary," a news release said.
The play's producers said Thursday the show will now have 16 more performances than initially scheduled.
Hanks and Ephron previously collaborated on the films "Sleepless in Seattle" and "You've Got Mail."
Ephron died last year of cancer. She was 71.