Ortiz, Chapa said, was picked up in the early hours along Interstate 35 in Laredo.
Authorities in Texas said Saturday that a U.S. Customs and Border Protection agent has been arrested on suspicion of killing four women and abducting a fifth. Cuellar said his department has "very strong evidence" to believe Ortiz killed the women, who he said were sex workers.
Mr Ortiz fled but was arrested in a hotel parking lot in the city of Laredo.
South Texas authorities said Juan David Ortiz, 35, an intelligence supervisor with the Border Patrol and a 10-year veteran of the agency, targeted prostitutes.
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. But authorities declined to discuss the evidence or say how the women were killed.
Mr Alaniz said the cause of death was similar in each case. Nationalities of the others are not yet known. All five women worked as prostitutes. Cuellar said investigators believe Ortiz acted alone.
A Border Patrol truck near the Mexican border in California.
"While it is CBP policy to not comment on the details of an ongoing investigation, criminal action by our employees is not, and will not be tolerated", his statement read.
"Our sincerest condolences go out to the victims' family and friends", Meehan's statement said. Ortiz will be charged with four murder charges and one unlawful restraint with aggravated assault with a deadly weapon, Alaniz said.
The Webb County Sheriff's office has identified the man alleged to be responsible for the murders of four women and the kidnapping of another.
He referred questions about the investigation to authorities in Webb County and to the Texas Department of Public Safety, whose Texas Rangers are also investigating.
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