Iphone keeps asking for password you must enter both your apple account and password

Go to Settings/[your name] and sign out, then sign in again.

Mm_queries wrote:

Sadly this did not work, still prompting me for apple password :(

Do you have any apps that may have been purchased using a different Apple ID? Any time those apps have available updates the App Store will ask for the Apple ID used to download them.

Was the phone purchased used and if so the phone come with any apps preinstalled.

Perhaps a long shot:

Do you have a 3rd party VPN installed, even if you are not using it? If so, delete the VPN profile in Settings/General/VPN & Device Management/VPN. Don't just turn it off; delete the profile. If that fixes it, you can try reinstalling VPN.

Same thing happens to me. Were you able to resolve it?