The notion of Lp-geominimal surface area was originally introduced by Lutwak in 1996. Recently, Feng and Wang introduced the concept of Lp-dual mixed geominimal surface area based on Lp-dual mixed quermassintegrals. In this paper, based on dual Orlicz mixed quermassintegrals, we define the concept of dual Orlicz mixed geominimal surface area and establish some related inequalities for this new notion.