To provide a communication terminal capable of easily confirming incoming call contents even during execution of a program, a method for controlling display, and a storage medium.

When a CPU 518 recognizes the reception of a message data destined for the recipient, a game is intermitted (step G4), the game screen information at the intermission is stored in a game management table (step G5), the recipient is informed of incoming call for a predetermined time duration (step G6), and a display telling that an incoming data exists is shown on a display part 501 (step G7). When a memory key 506 is operated by pressing, the display telling that the incoming data exists is kept continuously shown on a corner of the screen of the display part 501 until a reset operation is executed (step G9), and the CPU 518 operation goes to a game control processing step C18.