If you'd posted this link on your earlier post you might have received help faster.
It looks as if you're using CalPress Event Calendar, and I've added a tag for that to this post. (But it would have been helpful if you'd said that explicitly.)
I did a quick test, and it appears you're right. Any links added to the description section of the event don't appear in the front-end view of that specific event.
You may want to look at the options for plugin support at http://wordpress.org/support/plugin/calpress-event-calendar
Or if I've misinterpreted things and you're using a different calenddar plugin, please do let us know what it is.