There exist no converter that would allow you to directly convert any HTML page to APK. However, some .html files with programmed applications or websites can be converted to APK format through special framework, like PhoneGap or Website to 2 APK Builder that can help you deploy your HTML based apps on mobile platforms, including the Android that uses APK application package format.
Convert HyperText Markup Language web page to Google Android application package.
We have found one software suitable in our database for this conversion.
Microsoft Windows software - convert html to apk on Windows
A website to APK converter
Convert from html file format
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.