In this paper, we are dealing with the approximate controllability for a class of second-order stochastic evolution inclusions of Clarke’s subdifferential type. Initially, we show the existence of mild solutions for the stochastic evolution inclusions by using stochastic analysis, nonsmooth analysis and fixed point theorems of multivalued maps. Then we provide a set of sufficient conditions for the approximate controllability of the second-order stochastic evolution inclusions. Finally, an example is included for the illustration of the obtained theoretical results. © 2018, Springer International Publishing AG, part of Springer Nature.