To close your Hotmail email account, follow the steps below.

IMPORTANT: Deleting your email account is a one-way process, so you'd better be 100% sure you really want to go ahead. Proceed at your own risk!

* Go to Hotmail.com and log into your account.
* Look for the "Help" link, which is in the top right of the screen.
* Type "Close account" into the search box at the top of the Help window.
* Choose the "Close your account" link.
* Follow the instructions on the screen to close your Hotmail account (there are separate processes depending on whether you have a free or a paid subscription).
* You may have to speak to MSN/Hotmail customer support to complete the process of closing your account.

NOTE: It takes time to delete your Hotmail account (30 days at the time this article was written) even after you close it.

(source (http://www.emailaddresses.com/cancel-email-accounts.htm))