Andrew Murr was raised on a ranch in Kimble County, and attended school in Junction. He attended Texas A&M University, receiving a bachelor degree in Agricultural Development with an emphasis in economics and policy. Following graduation, he worked toward his master's degree at A&M and earned his teaching certification, completing his student teaching in Mason. He subsequently graduated with highest honors from Texas Tech University School of Law.

In 2008, Murr was elected Kimble County Attorney. However, he was appointed to the position of County Judge, due to a vacancy, before he was sworn in.