Officials at La Porte ISD said two students are accused of making separate and unrelated threats of violence against the school.
The district did not describe the alleged threats, but said they were both reported to the La Porte Police Department.
La Porte police took both students into custody on Tuesday. Their names are not being released because they are minors.
The alleged threats come nearly a week after a gunman killed 17 people at Stoneman Douglas High School in Parkland, Florida.