Take a look at a similar question:
https://webmasters.stackexchange.com/questions/31866/active-directory-auto-login-to-website-for-domain-users
Also this article which guides you to the steps to achieve the same :
How to implement Windows authentication and authorization in ASP.NET
Both the above examples do not use any password to login.
If your Internet Explorer still asks you for login details then it can be because of your IE settings:
In Internet Explorer go to Tools -> Internet Option -> Security -> Custom Level -> Scroll down to the bottom and select "Automatic Login with current user name and password” -> OK -> OK -> Close and reopen browser.
This should allow an AD authenticated user to pass straight through to your page.