Greenbriar Elementary opened its classrooms on September 6, 1955. They moved into the new building on January 10, 1958. Charles Harter was the first principal.

Under the current leadership of Mrs. Amelia Harden-Wilson, Greenbriar has 30 classrooms, including a Science Lab, Computer Lab, Library, and Outdoor Living Classroom.  The school offers the following programs: Gifted and Talented, Dual Language, Mixed Language, ESL, PPCD, LINC, Pre-K-5th Grade classes, Clayton/Fort Worth After School Program, tutorials, and many other exciting educational opportunites for our students.