A single hand folding structure for an umbrella folding stroller includes a folding set to connect between a pair of side frames of the stroller. The folding set is provided with a driving lever, and a driver is arranged at one of the side frames. A connecting element connects between the driver and the driving element. When a user folds the stroller, the user can pull the driver to move the driving lever via the connecting element and force the folding set to fold so the two sides of the frame are moved inward closely to each other. An elastic element of the frame is utilized to assist the folding of the frame such that the user can fold the frame of the stroller easily and effortlessly. Thus, the user can operate with a single hand, without using a foot, to release the frame to fold.