In a communication terminal equipment and in a method of controlling call incoming, unnecessary noises in a period from the start of an alert sound to carrying out of the next operation can be reduced. When a predetermined operation is effected under the condition that an alert sound is ringing, the alert sound is stopped or the volume of the alert sound is reduced at least over a duration of call incoming. Thus, such a fear that persons in the surroundings may be troubled by the continuous ringing of the alert sound can be remarkably reduced. Further, since the situation that a power supply is cut off forcibly during all origination can be avoided, the fear that a person on the call origination side may be given an unpleasant feeling can be eliminated.