Witnesses nearby said they heard a noise and found him lying on the ground after he had fallen from a balcony, WPXI-TV reported.
He was taken to UPMC Mercy hospital near Mt. Lebanon, Pa., in serious condition, but his status worsened after arriving.
"This is a devastating tragedy and the studio is investigating the matter", it reads.
The crew was on the second day of filming an interior apartment scene with Hanks, who reportedly was on set at the time of the accident. "Our thoughts and prayers are with Jim's loved ones, friends, and colleagues".
The Marielle Heller-directed film - now without a name but previously developed under the title You Are My Friend - was shooting a scene in the Pittsburgh suburb of Mt. Lebanon, just south of the city.
The new movie is about the experience of Tom Junod, a journalist who profiled Rogers in an article for Esquire magazine in 1998.
Hanks was on the set on the night of October 11 in Mount Lebanon, Pennsylvania, when Emswiller fell, according to the TMZ report. He has worked in the sound department on films like Abduction, Concussion, The Avengers, The Fault in Our Stars, Fox Catcher, Jack Reacher, Out of the Furnace, and the upcoming Where'd You Go, Bernadette? Hanks is playing Rogers in the film. The movie - which is apparently called "You Are My Friend", even though that title is not official at this point - is now slated for release October 18, 2019.