A student is in custody after the stabbing rampage at the Cypress campus of Lone Star College, northwest of Houston, according to police.
Two of the injured are in critical condition after the attack.
Harris County Sheriff Adrian Garcia said police first received an emergency call from the school shortly after 11:00 local time.
Based on video evidence, police said they were not looking for a second suspect.
The campus has been evacuated and will be closed for the rest of the day as police investigate.
Earlier, a county spokesman said there had been a report that the suspect was wrestled to the ground by a student, then arrested by police.
The suspect is approximately 21 years old and a student at Lone Star, Sheriff Garcia said.
Harris County spokesman Thomas Gilliland said the suspect went from “building to building” during the attack.
Thomas Gilliland said the attacker was believed to have been armed with a knife or a pencil.
One student told local broadcaster KHOU another student had been stabbed in a hallway in the school’s health sciences building.
Of the 14 that were injured at the college, two refused medical attention and four were brought by helicopter to hospital.
A different Lone Star campus was the site of a shooting in January which left two people wounded.
A 22-year-old man was charged with aggravated assault in that case.
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