Jenkins should notify bitbucket if a job that is linked to a branch has passed or falied, and it does:
But for some reason, in the branch view, it doesn't notify about the result of the last build, and says it failed even if the last build has passed:
How do I make it refer to the result of the last build only?
Today it was released a new version of the plugin for jenkins bitbucket-build-status-notifier which allows exactly what you need to avoid the problem you describe. It's new config option "Only show latest build status", just ensure this checkbox is checked and enjoy it.