Page Six was first to report the famously private couple's nuptials, with a rep for Dunst confirming for People
According to the report, the couple wed last weekend at the GoldenEye resort near Ocho Rios in Jamaica.
It is unclear if the two children they share were at the wedding with them, as Dunst's rep specified that "no other details will be provided."
The couple, who made inadvertent headlines after this year's Oscars ceremony for a bit wherein co-host Amy Schumer jokingly mistook Dunst for a seat filler and replaced her to chat with Plemons, first met on a set together.
The actors were enjoying their first-ever nominations for their latest collaboration, "Power of the Dog.
They've also collaborated together on "Black Mirror, "Drunk History" and in the Netflix original film, "Windfall.