If your HP printer shows “Wi-Fi no internet connection,” this usually means the printer is connected to the Wi-Fi router but cannot access the internet, which can be due to router settings, IP conflicts, or network misconfiguration.

To resolve this, follow these steps:

1. **Restart your printer and router**: Power off both devices, wait about 30 seconds, then power them back on. This often clears temporary conflicts affecting connectivity[1][4][5].

2. **Check that the printer and computer are on the same Wi-Fi network**: Verify the Wi-Fi network name (SSID) and password are correct on both devices. Use the Wireless Setup Wizard on the printer to reconnect if needed[1][3][4].

3. **Check the printer’s IP address**:
– If the IP starts with **169.254**, the printer did not get a valid IP from the router (usually indicates a DHCP issue).
– If the IP starts with **172**, the printer is on a guest network which may restrict internet access.
– If the IP starts with **192.168** or **10.x.x.x**, the printer is correctly connected to the local network[2].

4. **Reset the printer’s network settings** and reconnect to Wi-Fi via the printer’s control panel to clear any problematic wireless configurations[3].

5. **Ensure router settings are not blocking the printer’s internet access**:
– Disable guest network if the printer is on it.
– Check for firewall or parental control settings that could block device access[2][4].

6. **Check for proxy or VPN settings on the printer** and disable them, as these can interfere with internet access through the network[4].

If the problem persists, verify that other devices on the same Wi-Fi have internet access. If no devices have internet, contact your internet service provider, as the issue may be with your internet connection rather than the printer[4].

Using the HP Smart app or reinstalling the printer software can also help re-establish proper connectivity[3].

This approach addresses the common reasons why an HP printer may connect to Wi-Fi but display no internet connection errors, helping restore full network functionality.