The production will have played 44 previews and 84 regular performances.
Despite "a positive-to-mixed reception from the critics," the show "has not been able to build an audience and survive the devastating industry-wide impact of the current record-breaking cold weather," producers said.
The musical is produced by Weissberger Theater Group/Jay Harris, Edgar Bronfman Jr., James Walsh, Ted Hartley/RKO Pictures and Harvey Weinstein.
The company included Noah Racey and Nancy Lemenager (in the lead roles of Lucky and Penny), Karen Ziemba, Deidre Goodwin and Eugene Fleming.
The show reimagined uses for a treasure-chest of Jerome Kern songs with lyrics by Dorothy Fields and many others, pulled from various sources (including the RKO film). The libretto is by Jeffrey Hatcher.
The score included "Pick Yourself Up," "The Way You Look Tonight," "The Waltz in Swingtime," "A Fine Romance," "Never Gonna Dance," "I Won't Dance," "I'm Old Fashioned," "Dearly Beloved" and "Who."
Through Feb. 15, Never Gonna Dance's playing schedule is Tuesday-Saturday at 8 PM, Wednesday and Saturday at 2 PM, and Sunday at 3 PM.
Tickets are available through Telecharge.com.
The Broadhurst Theatre is at 234 W. 44th St. Tickets range $71.25-$101.25 including the $1.25 per ticket facility fee. For more information, visit www.NeverGonnaDance.com.