Co-star Uzo Aduba, who won the female actor SAG Award minutes before for her performance as inmate Suzanne "Crazy Eyes" Warren accepted the ensemble trophy for the large cast, which crowded onto the stage around her.
She thanked creator Jenji Kohan and viewers of the Netflix streaming service for tuning in, among others.
"Transparent," which was not nominated at the SAG Awards, won for best comedy series at the Golden Globes earlier this month.
"Orange Is the New Black," which returns for a third season in June, stars Taylor Schilling as a woman sentenced to a federal penitentiary for 15 months.
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