Dinwiddie County Sheriff D.T. "Duck" Adams said a 40-year-old woman was shot in the leg inside the facility, and a 32-year-old man took his own life after opening fire on deputies outside, WTVR-TV, Richmond, reported.
Adams said he believed the woman's injuries were non-life threatening.
He said she was a manager in the distribution center's shipping department and the shooter had worked for her.
The Richmond Times-Dispatch reported the shooting occurred shortly after noon in Dinwiddie County.