Ortiz was arrested after a fifth woman he kidnapped escaped his clutches half clothed and reported him to police.
A Border Patrol truck near the Mexican border in California.
Mr Alaniz said investigators were still trying to determine a motive for the killings. That followed by two more bodies being discovered. That woman's body was located near Interstate 35, north of Laredo.
Ortiz, 35, was an intelligence supervisor with the Border Patrol, according to a report by The Laredo Morning Times.
He said that authorities believe Ortiz had killed all four women since September 3.
Sheriff Cuellar told reporters that Ortez fled from Texas Department of Public Safety troopers who later found him hiding in a hotel parking lot in Laredo, KTRK ABC13 reported.
"We feel that our efforts have gathered strong evidence against this killer".
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The site where the victim was found is about a mile away from where Laredo's previous homicide victim was found about a week prior. Cuellar said investigators believe Ortiz acted alone. "The evidence then collected by the law enforcement investigators indicates that there was probable cause to indicate that this individual was responsible for this series of murders, which I would qualify as a serial murder that we have".
District Attorney Isidro Alaniz said Mr Ortiz, who had been with the Border Patrol for 10 years, was set to face four charges of murder and one of aggravated kidnapping.
The Texas Rangers are investigating the case.
Authorities found Ortiz at a gas station in Laredo, about 160 miles southwest of San Antonio. Luera was rushed to a hospital, where she was pronounced dead from her injury. The names of the victims were not immediately released.
"Our community is safe from this killer". There has been a recent breakthrough in the investigations and there has been someone detained.
Later on Saturday, the United States Customs and Border Patrol released a statement saying that it could not comment on any ongoing investigation, but "criminal action by our employees is not, and will not be tolerated".
Editor's Note: This is a developing story and will be updated as more information becomes available. Breitbart Texas reached out to Laredo Sector officials on Saturday afternoon.