An automatic mesh reeling machine includes a manual fiber loading mesh disc mechanism, a quantitative fiber mesh conveying mechanism, a fiber mesh cutting mechanism, an automatic mesh reeling mechanism of left and right mesh reeling hands, an automatic fiber mesh drum delivery mechanism and an automatic mesh stapling mechanism of a mesh stapler. Information about replacing a mesh disc can be transmitted under the cooperation of a mesh pressing rod and a micro switch. A servo motor drives a metering roll to realize fixed length feeding of a mesh. A cutter cylinder drives a blade to cut the fixed length mesh. A left mesh reeling hand and a right mesh reeling hand reel the mesh into a closed mesh drum. A sliding table cylinder, pneumatic parallel clamping jaws and an electric servo cylinder move the fiber mesh drum to a specified position.