The French director also stars in the pic and walked away with best actress honors, Variety reports. Tedeschi collected a $25,000 prize for her film plus six months of services from PMK/HBH Public Relations.
Tribeca also honored Li Yang's tale of Chinese mine workers, Blind Shaft, which won the Silver Bear award at Berlin earlier this year.
In the documentary category, Mohamed Zran won the prize for emerging documentary feature filmmaker for Song for the Millennium. The prize includes $25,000 and six months of services from PR firm PMK/HBH.
Prize for documentaries by directors with two or less previous films went to Elizabeth Chai Vasarhelyi and Hugo Berkeley for A Normal Life, with honorable mentions going to Laura Gabbert's Sunset Story and Francesca Comencini for Carlo Giuliani, a Boy.
For directors with more than two previous features, Moslem Mansouri won for Trial with Nick Broomfield and Joan Churchill picking up an honorable mention for Aileen: Life and Death of a Serial Killer.
The winners picked up $25,000 worth of services from Technicolor Creative Services New York.
The documentary short film award went to Harvey Wang for Milton Rogovin: The Forgotten Ones.
Lars Daniel Krutzkoff Jacobsen won the narrative short film category with Precious Moments, and Richard Linklater's Live From Shava's Dance Floor received a special citation.
The Budweiser/TriggerStreet.com audience award for feature film went to the documentary by David G. Berger, Holly Maxson and Kate Hirson, Keeping Time: The Life, Music & Photographs of Milt Hinton and Chen Kaige for Together. Both films will share the $25,000 prize.
The MTV Films Award for student visionary film went to Enrico Kahn for Make Up.