Police dispatcher Scarlet Eldred had no immediate information on whether anyone was hurt in an unspecified incident at the high school shortly before 9 a.m. Eldred says police were seeking an "active shooter."
Eldred didn't immediately provide additional information, other than the person being sought was a male.
The school district's website says the town of about 5,900 residents has three schools.
Alpine is 220 miles southeast of El Paso.