Abstract: A pet access door assembly mounts on the screen member of an outer screen door in a residential dwelling structure. The pet access door assembly includes a pair of frame members positionable on opposing sides of the screen member to trap the screening material between the frame members. The frame members are provided with both snap pins and removable fasteners that interengage the opposing frame members to place a high clamping load on the screening material between the frame members. A solid pliable door flap is clamped between the frame members by both the snap pins and the fasteners to allow a hinged movement for ingress and egress of the pet. A security panel is selectively mounted in a grooved receptacle on the inner frame member to prevent passage through the pet door assembly. A magnet secures the bottom of the door flap against the security panel.