The Independent Filmmaker Project announced the nominees Monday.
The Gotham Awards' 20th anniversary ceremony will be held Nov. 29 at Manhattan's Cipriani Wall Street.
In addition to the competitive awards, actors Robert Duvall and Hilary Swank, director Darren Aronofsky and Focus Features Chief Executive Officer James Schamus will each be presented with a career tribute.
"The Gotham Awards celebrate the collective breath of independent cinema," Joana Vicente, executive director of IFP, said in a statement.
"Ranging from the small gems produced on micro-budgets to extraordinary films from specialty distributors, the nominees all share the type of creative vision and risk-taking that are a hallmark of independent film. It's also my pleasure to report that there are more female directors nominated this year than any year before."
In the running for best documentary are "12th & Delaware," "Inside Job," "The Oath," "Public Speaking" and "Sweetgrass."
Vying for the breakthrough actor prize are Prince Adu from "Prince of Broadway," Ronald Bronstein from "Daddy Longlegs," Greta Gerwig from "Greenberg," Jennifer Lawrence from "Winter's Bone" and John Ortiz from "Jack Goes Boating."