The victim was one of two children who were shot. So far, no one is in custody.
The shooting happened at Cole's Antique Village and Flea Market in Pearland, Texas, just outside of Houston, shortly after 5:30 p.m. Sunday.
When officers arrived at the scene, they found five people shot -- three adults and two children.
All five victims were taken to area hospitals, where one of the children was later pronounced dead. Police did not provide details about the other victims' conditions.
ORIGINAL REPORT: 1 dead, 4 injured after disturbance leads to gunfire at Pearland-area market on Sunday, police say
Child dead, 4 injured following gunfire at Pearland area flea-market
The victims' exact ages are unknown.
Investigators said there was an argument between two people that escalated to an exchange of gunfire. Police believe the children were just caught in the crossfire.
The shooting was a shock to the Pearland community.
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"No, this is not anything that happens in Pearland. It is extremely tragic anytime someone is a victim of gun violence, especially in our community. This does not happen here in Pearland," Officer Chad Rogers said.
The police department said the two people involved in the fight may be two of the three adults in the hospital. They're still working to figure that out.