Delete a Jenkins Build via GUI

If you go into the build you want to delete and if you have the permissions to delete, then you will see on the upper right corner a button "Delete this build".

To delete any job from Gui,Go to your job and on left side,click on delete project.

To delete the project itself, "Delete Project" in the left sidebar after clicking on the job.

For deleting the entire build history you can do this:

Given your Hudson job is named FooBar,

• rename FooBar to FooBar-Copy
• create a new job named FooBar, using 'Copy existing job' option, from FooBar-Copy
• delete FooBar-Copy

Source: http://jenkins.361315.n4.nabble.com/Possible-to-remove-all-build-data-and-reset-build-1-td1458487.html