The aim of this paper is to consider a sensitivity analysis of optimal control problems for a class of systems governed by differential hemivariational inequalities (DHVIs) on Banach spaces. The first one is to investigate the nonemptiness as well as the compactness of the mild solutions set S(zeta)(zeta being the initial condition) for DHVIs and also to present an extension of Filippov's theorem, whose proof differs from previous work only in some technical details. The second aim is to study the optimal control problems described by DHVIs depending on the initial condition zeta and some further parameter eta and establish the sensitivity properties of the optimal control problems for DHVIs. Finally, a mathematical model is provided to illustrate our abstract results.