An information processing apparatus which is capable of preventing unauthorized access from an external apparatus, such as a PC, and improving user-friendliness. A wired communication section and a wireless communication section receive requests for acquiring screen data from external apparatuses. When a request is received via wireless communication, a CPU determines whether or not a security method used for the wireless communication is a predetermined security method. When the CPU determines that the security method is not the predetermined security method, the CPU and an operation panel cause screen data responsive to the received request to be transmitted to the external apparatus on condition that a predetermined input operation is performed on the operation panel.