To do this, you need to be in a group that has at least the following permissions set:
Is a moderator = Yes
Can remove post = Yes
Cannot Moderate these forums: Allow all or specific forum not listed
With these set,
you should see the either a link to "Open moderation options" (in forum topic list) or an "X" box to delete a specific post.
FWIW, I think some of database specific set up data scripts don't set up the Administrators group with these rights turned on. You might want to look at what rights are turned on in your Administrator group.
[originally posted on jforum.net by monroe]