How to solve the problem when the screen of Huawei mobile phone Honor 6 is always on after incoming calls or text messages?

According to your description, if the screen is always on while charging, please do the following:

Programs-Settings-Developer Options-Keep awake (uncheck)

If it is always on when not charging, the screen will stay on for up to 10 minutes. You can select the time by operating:

Programs-Settings-Accessibility-Screen auto-off.

Or check whether the mobile phone has recently downloaded third-party software (battery management, security guard, system management). It may be that the software is incompatible with the mobile phone and the mobile phone cannot lock the screen. It is recommended that you uninstall it. try.