Reps for the couple are yet to confirm the news, and no other details are known.
The baby arrived just months after she confirmed the pregnancy with a portrait series for Rodarte.
Kirsten Dunst brought her firstborn child into the world.
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Dunst opened up about her desire to start a family back in June 2017. The two met in 2016 on the FX series "Fargo", where they played a married couple. "It's time to have babies and chill, '" she said in the July 2017 issue of Marie Claire U.K.
She went on to say, "I wasn't one of those 'I need a baby!' people until my goddaughter was born. I love her so much", the Golden Globe nominee continued at the time.
For his part, Jesse Plemons has kept mostly mum about his relationship with Dunst.
That love is just like... you can't experience that unless you have a kid'. But, regardless of when she walks down the aisle, Kirsten wants the nuptials to be a quiet affair.