The incident happened while 32 employees were inside the Gloucester County facility, which was designed to handle bulk mail, officials told KYW-TV.
In a statement released to KYW-TV, UPS officials said the company is working with law enforcement officials "as they respond to an active shooter situation at one of the company's supply chain processing facilities in Logan Township, New Jersey."
"We cannot provide information about the identity of people involved at this time," company officials told KYW-TV.
The incident reported Monday marks at least the third shooting at UPS facilities in recent years.
Authorities arrested Luis Humberto Perez-Gonzales after he allegedly shot a man in October 2018 in the parking lot of a Tempe, Arizona, UPS facility. One year earlier, in July 2017, authorities said Jimmy Lam opened fire at a UPS facility near San Francisco, killing three people and injuring two others before he turned the gun on himself.
In September 2014, authorities said Kerry Joe Tesney shot and killed two people before taking his own life at a UPS Customer Center in a facility north of Birmingham, Alabama.