To connect an HP printer to the internet via Wi-Fi, you typically need to power on the printer, access its wireless setup menu (either directly on the printer’s control panel or via apps/software), select your Wi-Fi network, enter the Wi-Fi password, and then confirm the connection. This process enables the printer to access your home or office network and print wirelessly from connected devices[1][2][4].

There are two common methods to set up the Wi-Fi connection for HP printers:

1. **Using the HP Smart app**:
– Ensure your printer is powered on and your phone or computer is connected to your Wi-Fi.
– Download and open the HP Smart app, sign in or create an account.
– The app usually detects your printer automatically; if not, add it manually.
– Navigate to the printer’s network settings and select your Wi-Fi network, input the password, and connect[1].

2. **Using the printer’s control panel Wi-Fi Setup Wizard**:
– Turn on the printer and go to the Wireless or Network Setup menu.
– Select the Wi-Fi Setup Wizard, choose your network from the list, enter the password, and connect[2][4].

If the printer shows it is connected to Wi-Fi but cannot access the internet (which may affect cloud printing or services), troubleshooting steps include verifying SSID and password, restarting the Wi-Fi router, checking internet access on other devices, and confirming the printer’s network settings such as IP address and proxy settings[3].

For many HP models, enabling HP Wireless Direct is another option allowing direct connection to the printer’s Wi-Fi without the need for a network[2].

In summary, connecting your HP printer to Wi-Fi involves powering it on, selecting your Wi-Fi network via the printer or HP Smart app, entering your network password, and confirming connectivity. Troubleshooting is needed if issues arise with internet access while connected to Wi-Fi[1][2][3][4].