Sting (centre) has been appearing in The Last Ship since 9 December
Sting's Broadway musical is to close on 24 January, after just three months.
The Last Ship, a story of unemployed shipbuilders who take over a factory to build a new vessel, opened on 26 October to mixed reviews.
Last month, Sting stepped in to replace leading man Jimmy Nail in a bid to revive flagging ticket sales.
His appearance had a "galvanizing impact", but producers felt attendance would drop when he left, especially during the slow winter period.
Long-running shows The Lion King, The Book of Mormon and Wicked were among the top grossing shows for 2014
News of the closure came after Broadway theatres reported a record-breaking year for attendance and box-office takings in 2014.
A total of 13.1 million people went to see shows in the heart of New York last year, bringing in $1.36bn (£0.89bn).
The Broadway League, which represents producers and theatre owners, said attendance was up 13 percent and box-office takings up 14 percent.
The week ending Sunday 28 December was the biggest Christmas week in history for the theatre district - but the best-attended and highest-grossing period overall was New Year week.
Long-running shows Wicked, The Lion King and The Book of Mormon were among the top-grossing shows, with each pulling in more than $2.2 million (£1.45 million) for the New Year week.
Nearly 20 new shows are scheduled to open on Broadway in 2015, including a musical version of the 2003 Jack Black film School of Rock.
It is written by Downton Abbey creator Julian Fellowes, with music by Andrew Lloyd Webber.
- Published30 April 2013
- Published5 December 2012
- Published19 December 2014
