Spike Jonze won the Best Director accolade for helming the picture, which stars Joaquin Phoenix and features the voice of Scarlett Johansson as the warm, sexy computer operating system with whom he falls in love.
"Spike Jonze is one of the most talented and visionary filmmakers working today," Annie Schulhof, NBR president, said in a statement Wednesday. "In 'Her,' he explores the age-old themes of love and human connection in a completely fresh and innovative way. It is an outstanding achievement that is sure to become a new classic."
Bruce Dern earned the Best Actor prize for his work in "Nebraska," while his co-star Will Forte snagged the Best Supporting Actor prize.
Emma Thompson won the Best Actress honor for her performance in "Saving Mr. Banks" and Octavia Spencer garnered the award for Best Supporting Actress for "Fruitvale Station."
"Fruitvale Station" earned prizes for Breakthrough Performance for Michael B. Jordan and Best Directorial Debut for Ryan Coogler.
"Stories We Tell" was named Best Documentary and the cast of the drama "Prisoners" Best Ensemble.
The National Board of Review's top films of 2013 in alphabetical order are:
"12 Years a Slave"
"Inside Llewyn Davis"
"Saving Mr. Banks"
"The Secret Life of Walter Mitty"
"The Wolf of Wall Street"