The young girl was struck in the leg, a 24-year-old woman was hit in her thigh and a 44-year-old woman was shot in the foot, police said.
They were hospitalised in Manhattan, and their lives were not in danger, said NY police commissioner Dermot Shea, at a press briefing.
According to images captured on CCTV cameras on Times Square, the area was closed to vehicular and pedestrian traffic at 7pm, with several dozen police officials deployed on the street.
Video of the scene of the shooting from CBS New York shows at least five officers, as well as numerous police cruisers, sectioning off the center of Time Square, as throngs of masked tourists walk by.
NY have released footage of an individual potentially connected to the shooting.
The third victim is a 43-year-old female from New Jersey.
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Just before 5 p.m., there were "two to four people" who began arguing while at 44th Street and 7th Avenue, according to WABC-TV. How many more people have to be injured?
A gun has not been recovered but police found three shell casings from a.25 caliber gun at the scene, Shea said.
Police are asking for the public's help in identifying the possible suspect.
In a tweet, New York City Mayor Bill de Blasio said "the perpetrators of this senseless violence are being tracked down and the NYPD will bring them to justice".
The city has seen a rise in gun violence this year.
"I think we've we've spoken about this ad nauseum at this point day in and day out". "The individual was nearly immediately arrested by responding police officers". "When is this going to end?" She was toy shopping when she was shot.
"How many kids have to be shot before we take this seriously?" he said.