If I do this on my local machine - even selecting my own account - it prompts me for username and password when I exit the New Task Dialog.
If you're using a SYSTEM account, then there should be no password prompt at all.

+++ Rick ---


>>You have to specify a password for any user account you run under. But when you use a system account (ie. SYSTEM, NETWORK SERVICE etc.) you don't specify a password.
>>
>>It may also be that if you use your own/current account that task scheduler can get the SID Security token directly without having to prompt for the password and look up the account first.
>
>I mean, if you do this:
>
>Go in Task Scheduler
>Go in a task
>Select the account the task should run with
>Save
>
>Only the selection of the account is needed. I was not able to find a place where it asks for a password.
>
>In IIS, it does however. When we select the account, it prompts for the password.