Authorities say Sean Evan Haddon has been charged with making a terroristic threat.
He's in the Harris County jail following his arrest Sunday morning.
Police say phone calls began April 7 with a bomb threat to their campus police headquarters. Another similar call was received Thursday, followed by a call Friday to the university's Human Resource Service Center threatening to shoot "at least 200 people."
That call was tracked to Haddon's home in Crosby.
Police say after each call, officers found nothing suspicious to merit a campus-wide alert.