Steven Randall “Randy” Jackson is Michael Jackson’s youngest brother, as well as a member of the original Jackson Five.
Randall Darius “Randy” Jackson, on the other hand, is a former member of Journey best recognized as a judge on the hit TV-series, American Idol.
And so to answer your question, Randy Jackson is indeed Michael Jackson’s brother. However, he is not the same Randy Jackson whom we all know from American Idol.
