Disclosure of academic dishonesty during background check for tenure track I am a CS PhD student in my final year in North America and I will be applying for academia jobs starting Fall 2020. As far as I know, there will be some sort of background check during the hiring process. 

As for my past background, I had an incident during my undergraduate year where I submitted a project with citations at the end, but omitted in-text citations and so I was charged with plagiarism. The committee decided that it was unintentional and allowed me to redo the assignment with a 30% grade reduction penalty and the incident didn't show up on my transcript. So how should I report this incident with my prospect employers? Is this considered a crime or misdemeanor conviction?

Any suggestion is appreciated. Thanks!
The purpose of the background check is to find out if you are likely to abuse children on campus, assault your colleagues, or steal from the university.  It is not related to academic integrity.  

Academic integrity is evaluated by reference checks and transcript checks.  

Convictions are decided by law courts, not university committees.  You have a conviction if a judge or jury convicted you in a court.  This does not include university honor courts that are not part of the legal system.


  So how should I report this incident with my prospect employers?


You should report it if you are asked to do so.  You probably will not be.