The county's district attorney, Isidro Alaniz, says authorities were led to Ortiz after a woman he tried to kidnap escaped from him.
Law enforcement officers gather near the scene where the body of a woman was found near Interstate 35 north of Laredo, Texas on Saturday.
A US Border Patrol agent in Texas described by authorities as a "serial killer" has been arrested for the murders four prostitutes and the abduction of a fifth, who managed to escape him and notify authorities. Sheriff Martin Cuellar identified the man as Juan David Ortiz a 10 year veteran supervisor of the U.S. Border Patrol.
Authorities didn't disclose the victims' names or nationalities and they declined to discuss the evidence or say how the women were killed - but local media outlets have linked them to at least three bodies found in the area over the last two weeks.
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Mr Alaniz said the cause of death was similar in each case.
Alaniz told The Associated Press that all the women worked as prostitutes.
Andrew Meehan, a US Customs and Border Protection spokesperson, said in a statement to CNN that the agency is fully cooperating with investigators.
Two of the victims were found earlier on Saturday and on Friday evening.
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He said investigators had "very strong evidence" that Mr Ortiz was behind the killings.
Alaniz said officials will be looking at "potentially four charges of murder and aggravated kidnapping".
"We do consider this to be a serial killer". Cuellar said investigators believe Ortiz acted alone.
"Out of respect for the victims' family and friends, we ask that deference and due process be given to the investigation so that all the facts are brought to light and they can receive the closure they deserve".
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The Texas Department of Public Safety, whose Texas Rangers are investigating, did not return several messages seeking comment.