Configuring the Atlassian JIRA plugin to work with Jenkins CI system
I had a similar issue and fixed it by setting our JIRA studio Title to "Atlassian JIRA".You can change it by going to admin->general->account->account name->(change)
The plugin looks for one (or both) of those words, I forget which.
You might also have to enable "Accept Remote API Calls" in admin->issues->global settings->general configuration->options
Hope that works for you.