The PS4 supports the use of both Bluetooth and USB keyboards and mice. Instructions on how to connect them are below.

To use a USB keyboard or mouse:

Plug the device into an open USB port on the front of the PS4.
The PS4 will recognize the new device and ask who is using it. Choose the profile that you'd like to pair to the device.
You can now use the keyboard to navigate the PS4's system menus, input text, browse the web, and more.
Keyboard type (language), key repeat delay, and key repeat rate can be changed by going to [Settings] > [Devices] > [External Keyboard].

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To use a Bluetooth keyboard or mouse:

From the Dynamic Menu's Home Screen, press UP on the d-pad.
Choose [Settings] > [Devices] > [Bluetooth Devices]. The system will automatically search for nearby Bluetooth devices.

Follow the normal pairing process of the Bluetooth device you wish to pair and enter the passkey (if necessary). If you are unsure of this process, please consult the device's instruction manual.
The PS4 will recognize the new device and ask who is using it. Choose the profile that you'd like to pair to the device.

You can now use the keyboard to navigate the PS4's system menus, input text, browse the web, and more.

Keyboard type (language), key repeat delay, and key repeat rate can be changed by going to [Settings] > [Devices] > [External Keyboard].