An electronic apparatus which is capable of appropriately providing notification about a connecting state and an operating state of a wireless communication unit, and reducing power consumption. Upon receiving a beacon signal from a wireless communication access point with a predetermined period, a notification unit provides notification that the wireless communication unit is linked to the wireless communication access point. Based on a time corresponding to the predetermined period, the wireless communication unit is returned into a first state from a second state in which a smaller amount of power is consumed than in the first state. When the wireless communication unit lies in the second state, the notification unit is intermittently disabled, and when the wireless communication unit returns from the second state into the first state, the notification unit is disabled.