Several solutions to this one problem.
The thread Can I force Google Chrome to remember passwords? gives this advice :
Use the autocomplete=on extension. It changes 'autocomplete=off'
to 'autocomplete=on' in web pages, so your passwords will be
remembered.
The thread Chrome doesnt ask to save passwords says :
Go to C:\Documents and Settings\YOUR PROFILE\Local Settings\Application Data\Google\Chrome\User Data\Default
Make sure chrome is closed
Delete the file named Web Data (or make a backup)
Restart Chrome
Once you restart, chrome should automatically create the same "Web
Data" file.
The only problem is that you'll have to save all the passwords again.
(This advice is evidently for XP, other operating systems will have this file elsewhere.)
The thread Google Chrome Save Password Problem? advices a last-ditch effort of importing the passwords from Firefox.