A power supply apparatus that wirelessly supplies power to an electronic device , comprising: communicating means for contactlessly transmitting power and transmitting/receiving information; holding means for holding, when authentication is first performed with an electronic device via the communicating means , information indicating a communication mode when communication is established with the electronic device ; and controlling means for controlling the communicating means so as to perform communication in a communication mode based on the information held in the holding means , when a second authentication is performed with the electronic device via the communicating means , wherein the controlling means includes: determining means for, when a first authentication is performed with an electronic device , establishing communication with the electronic device by outputting power at a pre-set first level via the communicating means , and determining whether or not the electronic device includes a rechargeable battery; and transitioning means for, when the determining means has determined that the electronic device includes a rechargeable battery, transitioning to second authentication for charging the battery of the electronic device , and the communicating means is NFC, Near Field Communication, communicating means, wherein when the transitioning means causes second authentication to be performed with the electronic device , the controlling means is configured to not reply to a carrier signal transmitted by the electronic device as an initiator, during a period before a time determined in the first authentication with the electronic device has elapsed. communicating means for contactlessly transmitting power and transmitting/receiving information; holding means for holding, when authentication is first performed with an electronic device via the communicating means , information indicating a communication mode when communication is established with the electronic device ; and controlling means for controlling the communicating means so as to perform communication in a communication mode based on the information held in the holding means , when a second authentication is performed with the electronic device via the communicating means , wherein the controlling means includes: determining means for, when a first authentication is performed with an electronic device , establishing communication with the electronic device by outputting power at a pre-set first level via the communicating means , and determining whether or not the electronic device includes a rechargeable battery; and transitioning means for, when the determining means has determined that the electronic device includes a rechargeable battery, transitioning to second authentication for charging the battery of the electronic device , and determining means for, when a first authentication is performed with an electronic device , establishing communication with the electronic device by outputting power at a pre-set first level via the communicating means , and determining whether or not the electronic device includes a rechargeable battery; and transitioning means for, when the determining means has determined that the electronic device includes a rechargeable battery, transitioning to second authentication for charging the battery of the electronic device , and the communicating means is NFC, Near Field Communication, communicating means, wherein when the transitioning means causes second authentication to be performed with the electronic device , the controlling means is configured to not reply to a carrier signal transmitted by the electronic device as an initiator, during a period before a time determined in the first authentication with the electronic device has elapsed. <EOS>