In this paper, a class of second order stochastic evolution equations with memory \t\t\tutt(t,x)−Δu(t,x)+∫0tg(t−s)Δu(s,x)ds+f(u)=σ(u)∂W(x,t)∂t,x∈D⊂Rn,\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document}$$ u_{tt}(t,x)-\\Delta u(t,x)+ \\int _{0}^{t} g(t-s)\\Delta u(s,x)\\,ds+f(u)= \\sigma (u)\\frac{\\partial W(x,t)}{\\partial t}, \\quad x\\in D\\subset \\mathbb{R}^{n}, $$\\end{document} is considered, where f is a continuous function with polynomial growth of order less than or equal to n/(n-2) and σ is Lipschitz with sigma (0)=0. By Tartar’s energy method, we prove that for any solution to the equation the propagate speed is finite.