An electronic device with a display, touch-sensitive surface and one or more sensors to detect intensity of contacts with the touch-sensitive surface displays a first user interface object and detects first movement of the contact that corresponds to movement of a focus selector toward the first user interface object. In response to detecting the first movement, the device moves the focus selector to the first user interface object; and determines an intensity of the contact. After detecting the first movement, the device detects second movement of the contact. In response to detecting the second movement of the contact, when the contact meets selection criteria based on an intensity of the contact, the device moves the focus selector and the first user interface object; and when the contact does not meet the selection criteria, the device moves the focus selector without moving the first user interface object.