3 and iPadOS 13 Bluetooth-based wireless controllers. Only PS4 Dualshock 4 and Xbox One controllers are currently supported. The Nintendo Switch Pro Controller does not work.
There are a couple of Xbox One controllers in the wild. Apple currently supports only model 1708, which is the Xbox One S controller (the original Xbox One controller does not work). Most PS4 Dualshock controllers are supported (except for the CUH-ZCT1U model that ships with the original PS4 back in 2013).
The easiest way to check if your controller is supported by your iPhone or iPad
How to Connect PS4 and Xbox Controllers to iPhone and iPad
You can pair your iPhone or iPad with the Bluetooth app in the Settings app. Open the "Settings" app on your iPhone or iPad and then tap on the "Bluetooth" option.
Here, make sure the Bluetooth feature is enabled and in discovery mode.
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