The stabbing happened at the store near West 34th Street and Avenue of the Americas around 2 p.m.
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He was taken to Bellevue Hospital and was said to be serious but stable.
The investigation into what led to the stabbing is ongoing. So far no arrests have been made.
Police are looking a man in his 30s last seen wearing a grey T-shirt, black pants, black baseball cap and black backpack.
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A Target spokesperson released a statement following the stabbing.
"The safety of our guests and team members is our top priority. This afternoon, there was a violent incident at our Manhattan Herald Square location involving two individuals who were in our store. We are coordinating with the NYPD on their investigation and will defer any additional questions to them at this time," the spokesperson said.
Few other details were released.
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