How to delete a project from Google Cloud Console

Try to change back to old console design.. You can find delete button there.

This is the old url https://code.google.com/apis/console/

Then you click in the left sidebar on the project name, you'll have a "delete" link :)

As 2017 approaches, Raptor's answer pretty much nailed it, but here is a screenshot and the basic steps to delete a project from the google cloud platform.

1. Go to console.cloud.google.com
2. Select your project (from drop-down on top nav-bar)
3. Select IAM & Admin (from hamburger menu on top-left nav-bar)
4. Click Settings in the left-side-bar nav.
5. Click SHUT DOWN (image shows DELETE PROJECT)
6. Enter text per instructions to confirm project shutdown.

UPDATE 11-2020

After clicking SHUT DOWN, you'll see the final dialog popup with instructions on what to type to confirm.