Panjabi, who became famous after British “East is East” and Bend It Like Beckham, won an Emmy for her role as a law firm’s in-house private investigator in her hit TV show.
The 38-year-old triumphed over fellow The Good Wife actress Christine Baranski and Mad Men’s Elisabeth Moss.
The other high-profile British nominees Michael Sheen, Sir Ian McKellen and Dame Judi Dench failed to take to the stage and pick up a coveted gong.
Michael Sheen was nominated for best actor in a mini-series or TV movie for The Special Relationship, a movie in which he reprised his role as Tony Blair.
But he lost out to Al Pacino, who won a rare TV gong for You Don’t Know Jack. Sir Ian also missed out to Pacino in the category.
Maggie Smith and Dame Judi were both nominated in the female equivalent section. But they lost out to Claire Danes who won an award for her performance in Temple Grandin.
Hugh Laurie also missed out on an Emmy again. The comedian turned actor has been nominated for his role as Dr. Gregory House in the eponymous show five times.
But he went home empty handed as Bryan Cranston took the title of outstanding actor in a drama for his performance in Breaking Bad.