Authorities responded to the Chelsea-Elliot Houses on West 25th Street between Ninth and 10th Avenues just before 5 p.m.
Two people were taken to Bellevue Hospital and the third to Lenox Hill.
None of the injuries is believed to be life threatening.
The circumstances of the incident are not yet known.
Police say all those involved fled the scene and that the victims are not cooperating.
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