The two-hour drama won the Founders Award for Best Narrative Feature at a ceremony held on Thursday, press tv reported.
About Elly was described as a "seamless piece of ensemble filmmaking" by the world narrative competition judges -producer Richard Fischoff, filmmaker Todd Haynes, and actors Bradley Cooper, Meg Ryan and Uma Thurman.
"The universality of the characters and themes, and the directors riveting grasp of this story make About Elly a film that collapses barriers and deepens our understanding of the world we share," the judges said.
In February About Elly won Asghar Farhadi the 59th Berlinale's Silver Bear award for best director.
The movie revolves around a group of friends who travel to Iran's Caspian Sea coast for a short holiday. A young woman in the group, Elly, was invited along for an ulterior motive: pairing her up with a young man, recently returned from Germany after divorcing his German wife.
The short holiday becomes disastrous when Elly vanishes on the second day, after an incident on the beach. When it transpires she had been engaged to another man, her initially positive image crumbles. Conflicting moral values surface among the apparently laid-back, modern group in their mid-to-late 30s.
Asghar Farhadi began filmmaking with Dancing in the Dust in 2003. His fourth film, Fireworks Wednesday won him the Gold Hugo Award of the 2006 Chicago International Film Festival and the Best Director Award of the 13th Rabat Film Festival in Morocco.
The Tribeca Film Festival was founded in 2002 by American actor Robert deNiro and producer Jane Rosenthal in a response to the 9/11 attacks and their aftereffects on Manhattan's TriBeCa neighborhood.