The federal funding, called a STOP School Violence Prevention and Mental Health Training Grant, would go to help students recognize warning signs of suicide or violence.
Superintendent Webb said Bangor schools have bullying prevention and emotional training in K-8, but they want to bring similar programs to middle and high school.
They want to have ways for students to report red flags anonymously and do all they can to prevent unsafe situations.
"That includes training our students," said Superintendent Webb, "and unfortunately these are the types of things you have to do, but this kind of training can help you no matter where you are or what you're doing throughout the rest of your life."
The grant would be for up to $150,000, but she said she didn't think they would need that much.
The deadline to apply is next week, as is the next Bangor City Council meeting where it will be on the agenda to be approved.