The post on Snapchat was made after school hours by a fourth grade student who attends Poupard Elementary in Harper Woods, Michigan.
The school's principal confronted the student after discovering the threat to shoot a teacher.
"The student admitted that they did post on Snapchat," said Dr Gary Niehaus, superintendent of Grosse Pointe Public Schools.
Niehaus was quoted by WXYZ-TV as saying that the principal alerted the child's parents and also called Harper Woods Police.
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"They did assure us that there was no weapon at the house, so we know the threat was empty but it was a threat and we do take all threats serious," said Niehaus.
"We all want to make sure our kids are safe and in this case, that our teachers and faculty are safe from those threats that may be made by others," he said.
The student remains out of school on suspension while the investigation into the January 31 incident continues.
Niehaus said the child, who was new to the district, became upset over a classroom assignment.
It has not been determined yet when, or if, the student will be allowed to return to the school.
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