A method for generating a geometric folding full coverage path for a robot is provided. A conventional full coverage path planning algorithm is based on a zigzag pattern, a spiral pattern or a combination thereof. A traversal order is restricted by a linear traversal manner or a traversal manner from inside to outside and therefore lacks flexibility. In the method, a geometric folding operation is used to generate a full coverage path pattern for the robot, referred to as a geometric folding path pattern. The full coverage path has a flexible traversal order. A representation method for the geometric folding path pattern is modeled in the method, and subsequently the method for randomly generating the geometric folding full coverage path and a search method for a geometric folding path within a constraint of passing through specified points in a given order are provided.