In　this　paper,　an　equivalent　minimization　principle　is　established　for　a　hemivariational　inequality　of　the　stationary　Stokes　equations　with　a　nonlinear　slip　boundary　condition.　Under　certain　assumptions　on　the　data,　it　is　shown　that　there　is　a　unique　minimizer　of　the　minimization　problem,　and　furthermore,　the　mixed　formulation　of　the　Stokes　hemivariational　inequality　has　a　unique　solution.　The　proof　of　the　result　is　based　on　basic　knowledge　of　convex　minimization.　For　comparison,　in　the　existing　literature,　the　solution　existence　and　uniqueness　result　for　the　Stokes　hemivariational　inequality　is　proved　through　the　notion　of　pseudomonotonicity　and　an　application　of　an　abstract　surjectivity　result　for　pseudomonotone　operators,　in　which　an　additional　linear　growth　condition　is　required　on　the　subdifferential　of　a　super-potential　in　the　nonlinear　slip　boundary　condition.　©　2021　Elsevier　Ltd