If you are connecting to an Exchange On-Premises mailbox, see the following articles for additional troubleshooting: This diagnostic does automated checks and returns possible solutions for you to use to try to fix any detected issues. If both conditions are true,it is highly recommended that you use the Outlook keeps asking for my password diagnostic to troubleshoot issues in which Outlook continually prompts for a password.
You may also already be running newer versions of Outlook 2013 or Outlook 2016. You may be an Office 365 customer who is experiencing the error that is described in the 'Symptoms' section when you try to connect to an Exchange Online mailbox. These versions have the Logon network security setting disabled or removed from the Microsoft Exchange email account settings. Those versions have been updated to prevent the problem that is described in the 'Symptoms' section. Microsoft Outlook 2016 and some recent builds of Outlook 2013 are not affected by this issue.