Presidio County sheriff's officials said Thursday that Quaid and wife Evi are in custody in the town of Marfa, but the department isn't releasing other details.
In California, Santa Barbara County sheriff's spokesman Drew Sugars says the warrant for Quaid and his wife Evi set bail at $20,000 each. The felony warrant is for burglary, defrauding an innkeeper and conspiracy.
Sugars says detectives haven't been able to interview the actor yet.
A message left for Randy Quaid's commercial agent, Steven Arcieri, was not immediately returned.