Log in as an admin, go to the admins project list and use the "delete project" option from the menu on the right hand side next to each project.
Bear in mind that deleting a project is a full delete - the project and all its issues will be destroyed. The only way back is to restore from a backup, so make sure you take one before deleting and keep it safe.
This functionality has now been changed in Jira Cloud. You can not delete a project in the Projects admin area. You must open the project, select Project Settings from the left nav bar and you will now see a new menu entry for Delete Project. It is just underneath the Summary menu entry.
For JSM June Challenge #2, share how your non-technical teams like HR, legal, marketing, finance, and beyond started using Jira Service Management! Tell us: Did they ask to start using it or...
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