A method capable of avoiding interruption due to incoming call is adapted to a mobile communication device. A subscriber identity module (SIM) card is installed on the mobile communication device. The method includes steps of setting a non-interruption period; retrieving an incoming call time of an incoming call signal when receiving the incoming call signal; determining whether the incoming call time is within the non-interruption period; stopping to supply power to the SIM card if the incoming call time is within the non-interruption period; and normally supplying power to the SIM card if the incoming call time is not within the non-interruption period.