I created a pipeline multibranch job, the Jenkinsfile call the library method to set the properties:

                properties([buildDiscarder(logRotator(artifactDaysToKeepStr: '',
                        artifactNumToKeepStr: '', daysToKeepStr: '8',
                        numToKeepStr: '10')),
                        pipelineTriggers([upstream(threshold: hudson.model.Result.SUCCESS,
                        upstreamProjects: FullJobName)])])

The upstream job is triggered by other project. After the upstream project is completed building with success result, my pipeline multibranch job can't be triggered. I manually build the upstream job or the pipeline multibranch job, then in the next time after the upstream job building, my pipeline multibranch job can be triggered.

Before I do the test, I already build the pipeline multibranch job, (no upstream job at that time) and I can see the job is configured the upstream project in UI. I also created a freestyle test job, which is configured triggering by the same upstream job, this freestyle test job can be triggered by it in any case.