Rigoberto Alex Escobar, 35, is accused in 38-year-old Dixa Yamilet Rios Serbellon's death.
The incident happened Sunday at about 2:10 a.m. outside a southeast Houston nightclub in the 5200 block of Telephone Road.
Officials say Escobar ran over Serbellon at least three times, as well as striking anyone near her before fleeing the scene.
Surveillance video from Sunday morning showed when Serbellon and another man got out of a vehicle and began crossing the street.
WATCH: Surveillance video shows woman being run over
Police believe Escobar may have spotted her crossing the street towards JoJo's Club.
Serbellon was pronounced dead at the scene.
The male victims, identified as Adan Salgado, Celso Velasquez, and Maneesh Roberts, were transported to a hospital for treatment with possible broken bones.
No word yet on their conditions.
Police confirm Escobar was taken into custody for drunk driving in the 8900 block of the Gulf Freeway within about a half hour of the crime. When interviewed by detectives, they say that he confessed to knowingly running over the victim, saying he was jealous.
Serbellon's family says she and Escobar had known each other for about five years and had a history of domestic violence.
Relative of Serbellon, Alana Garcia, says Escobar is a coward.
Serbellon leaves behind four children in Honduras. Her family says they are now having trouble paying for her funeral.