Berry, 44, is the daughter of a white mother, who was a psychiatric nurse, and a black father, who was a hospital attendant in the same ward. Aubry is French-Canadian and white.
The couple is in the middle of a bitter custody battle over their 2-year-old girl, Nahla.
"I feel she's black. I'm black and I'm her mother, and I believe in the one-drop theory," Berry said in an interview with Ebony magazine.
The "one-drop" rule refers to Jim Crow laws passed in the South during the 20th century to further disenfranchise African Americans.
It varied from state to state, but generally, if a person had "one drop" of black blood, they were forbidden to pass as white.
"I'm not going to put a label on it. I had to decide for myself and that's what she's going to have to decide -- how she identifies herself in the world," Berry told Ebony. "What I think is that that's something she's going to have to decide."
"And I think, largely, that will be based on how the world identifies her. That's how I identified myself," she said. "But I feel like she's black."
Berry's remarks underscore an ongoing debate about racial identity in a country that is becoming much more multi-ethnic.
One in seven new marriages is between spouses of different races or ethnicities, according to data from 2008 and 2009 that was analyzed by the Pew Research Center.
The United States is having a demographic shift driven by immigration and intermarriage, one that is expected to accelerate, according to a report in The New York Times.
Dionne Ford, a writer from Montclair, N.J., is black and her husband is white. Their two daughters, 11 and 9, consider themselves biracial.
"To some degree, we are shaped by society but ultimately how we see our identity ourselves is deeply personal to us," she said. "It's a journey and it evolves."
One of her daughters struggled with her racial identity when she was younger. "She decided she was white, but black in the inside," said Ford.
She described how she felt about her daughter's ambivalence in an essay, "Black on the Inside," that was published in Brain Child magazine.
"It was tough," said Ford. "I wanted her to identify with me, but I still had to respect her."
"With her butterscotch skin and thick copper-colored curls, it's easy to see that white is only half the story," wrote Ford. "Her father is white, with his Irish grandmother's freckled skin and red hair and his Finnish grandfather's long limbs and blue eyes. I am black, cocoa-colored like my grandmothers from Arkansas and Mississippi. I want Desiree, as a biracial child, to self-identify, to not let others box her into some container too small to hold all of her."
Ford, 41, said she tried to answer her daughter's questions honestly. "I did tell her she was not just white, that she would always be both black and white. But I never told her she had to choose one or the other."
Today, her daughter has embraced her black roots. "I am sure that has to do with growing up and understanding where she comes from and also being in a community where others are biracial," said her mother.
Ford's own background is racially ambiguous and she has devoted much of her time writing a blog about her family history, "Finding Josephine."
Her grandfather was the grandson of a slave and her master.