Police told the Duncan Banner the parking lot shootings happened about 10 a.m. CST.
The shootings happened less than 24 hours after four people were shot and six others were injured in Fresno, California, while watching football at an outdoor party.
Last week, the El Paso, Texas, Walmart where a gunman killed 22 people on Aug. 3 reopened. A permanent memorial is being built near the store in honor of the victims.
»RELATED: El Paso Walmart to reopen Thursday, 3 months after mass shooting
The store had remained closed since the shooting in El Paso, and its reopening came about a week later than originally planned as crews finished renovating the building.
Deadly shooting at El Paso Walmart
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