Police first received a call at about 2.30pm local time about a shooting at 350 Stone City Drive in Bryan, Mr James said in a news conference.
Officials said the individual shot and wounded one officer following the incident and was an employee of the cabinetry manufacturer where he carried out the shooting.
"One person was deceased at the scene", he told reporters, and four additional victims were transported to the hospital "in critical condition with gunshot injuries".
"Lieutenant Jason James, a spokesperson for the police department in Bryan, Texas, said in a telephone interview broadcast by CNN that the shooting unfolded at a business where" there were a lot of employees inside".
By the time officers arrived, the shooter was gone.
The violence follows a string of more than a half-dozen deadly mass shootings across the United States since mid-March, including rampages that killed eight people at several Atlanta-area spas, 10 people at a supermarket in Boulder, Colorado, and four people, including a 9-year-old boy in Orange, California.
The seventh victim was taken to the hospital due to an asthma attack, but was not injured in the shooting.
"We really don't know the motive, we're still investigating that", Police Chief Eric Buske said.
Dutch stop giving AstraZeneca vaccine to under-60s pending review
The UK has administered more than 31 million first vaccine doses, using both the Oxford-AstraZeneca and the Pfizer-BioNTech jabs. Australia's regulatory authority for therapeutic goods, said it is investigating this "rare case".
The state trooper who was shot while pursuing the suspect was is in serious but stable condition, the Texas Department of Public Safety said on Twitter.
The suspect in the shooting is at large, Mr James said.
The Bureau of Alcohol, Tobacco, Firearms and Explosive has sent dogs to the scene to assist in the investigation, which the agency says is "rapidly evolving".
Police asked people to stay away from the business.
Bryan is about 100 miles (160 kilometers) northwest of Houston that sits on the doorstep of Texas A&M University. He has been charged with murder and booked into the Brazos County Sheriff's Office.
A person who answered the phone at Kent Moore Cabinets' headquarters in Bryan said she couldn't provide any information on the shooting.
Texas Gov. Greg Abbott offered prayers for shooting victims and their families.
The exact circumstances of the suspect's arrest remain unclear.