Ahmad Khan Rahami, 28, is a naturalized US citizen from Afghanistan.
The New York Police Department (NYPD) has released a photograph of the suspect.
The blast injured 29 people. Both the detonated bomb, and a device found nearby, were shrapnel-filled pressure cookers, according to US media.
Investigators have warned the suspect, whose last known address was in Elizabeth, New Jersey, should be considered “armed and dangerous”.
The announcement comes after a backpack containing up to five suspicious devices was discovered near a train station in Elizabeth.
One of the devices exploded on September 19 when a bomb disposal robot tried to deactivate it.
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