Neuwirth, 50, and Calkins swapped "I do's" in front of roughly 80 guests at the Players Club in Manhattan's Gramercy Park, with pal Peter Coyote presiding over the Buddhist/Christian ceremony, her rep confirms to PEOPLE. The newlyweds are now on their honeymoon.
Neuwirth was married once before, in 1984, to Paul Dorman, a union that ultimately ended in divorce. This marriage was first reported by the New York Post.
Next up for the actress is another return to Broadway next year, when she joins Nathan Lane in a new musical, The Addams Family, in which she'll play family matriarch Morticia Addams. Previously, Neuwirth won Tonys for her performances in revivals of Sweet Charity and Chicago.