Big Spring police say the remains were discovered Tuesday afternoon by some workers in the area.
Police say the scene has been secured and an FBI evidence recovery team is expected Wednesday in Big Spring, about 100 miles southeast of Lubbock.
A police statement says investigators determined the remains are human but the gender and identification are unknown. Police say the remains "appear to have been there for a long period of time."
The area is in southwest Big Spring, near McMahon-Wrinkle Airport.
Police did not immediately provide further details Wednesday. The FBI in Dallas did not immediately return a message from The Associated Press.