Purpose, about an African-American family who reunite in Chicago, was named best play, a month after winning the 2025 Pulitzer Prize for Drama.
Meanwhile, Cole Escola was named best actor in a play for Oh Mary!, a one-act reimagining of Abraham Lincoln's assassination through the eyes of his wife - a raging alcoholic who dreams of life as a cabaret star.
Sunset Boulevard also won best musical revival, while Eureka Day, about a school in California which must confront its vaccination policy after an outbreak of mumps among the pupils, won best revival of a play.
Stranger Things: The First Shadow, a stage adaptation of the hit Netflix show, and Buena Vista Social Club, which tells the story of the Cuban musical group, were among the other winners.
The biggest winners:
British actor Jak Malone was named best featured actor in a musical - the Tonys equivalent of the supporting actor prize - for Operation Mincemeat, the story of the British plot to fool the Nazis during World War Two.
Elsewhere in the ceremony, Erivo was joined on stage by singer Sara Bareilles for a rendition of Tomorrow from the musical Annie, in tribute to those in the theatre community who had died throughout the year. The song's composer, Charles Strouse, died last month.
Presenters at the event included Samuel L Jackson, Oprah Winfrey, Ben Stiller and Lin-Manuel Miranda.
The original cast of Hamilton reunited to perform a rapturously received medley, to celebrate the show's 10th anniversary.
In the last year, a string of new shows and stars drew 14.7 million people to Broadway performances, grossing $1.89bn (£1.39bn) at the box office.
