The actors will be joined by Tony Award winners Bebe Neuwirth, Sutton Foster, Joel Grey and Harvey Fierstein for the performance in Times Square on Friday.
They will perform a version of 'New York, New York', the track the pair sang days after the terrorist attacks in 2001.
The show is part of the 'I Will' campaign, which aims to get people to perform good deeds and help with charities.
Paul Libin, Chairman of the Broadway League, announced: "Ten years ago, Broadway united with the city to communicate that the shows must go on, just as life must.
"And now Broadway is banding together again to inspire participation in charitable projects in honour of those lost."
Broderick will return to Broadway next year in the musical comedy Nice Work If You Can Get It.
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