This study is the continuation of our former work [O. Duman and E. Erkus,, Comput. Math. Appl. 52 (2006) 967-974] in which we obtained a statistical Korovkin-type approximation theorem for a sequence of positive linear operators defined on the space of all real-valued continuous and 2 pi periodic functions on the real m-dimensional space. In this paper, we compute the statistical rates of this statistical approximation.