Hotmail login at https://www.hotmail.com/ or https://outlook.com. It will redirect you to https://login.live.com/

Enter your Hotmail Email Address or Phone number into the upper box.
Please enter exactly your full email address. Example :[email protected] ( This can be an email account ending with @outlook.com,@hotmail.com, @msn.com, or @live.com, and includes international domains, such as @outlook.co.uk, or any custom domains hosted on Outlook.com. )
This field is not CASE SENSITIVE, so please check whether caps lock is on before you enter Hotmail login password
Now enter your Hotmail Password. Your Password is case sensitive
Click "Sign In".
You will reach Hotmail inbox which is now Outlook Mail. You can access all your old Hotmail emails and contacts in outlook.com.

Tips:

If you're logging in to a public PC, make sure to logout before leaving the computer.
We recommend that you got the "Keep me signed in" checkbox selected. This ensures that you won’t be constantly interrupted to re-enter your password. Ensure that you are using your personal computer.