[en] We show for a large class of random Schroedinger operators H_ω on l²(Z^ν) and on L²(R^ν) that dynamical localization holds, i.e. that, with probability one, for a suitable energy interval I. Here ψ is a function of sufficiently rapid decrease, ψ_t=e^-iH_ωtψ and P_I(H_ω) is the spectral projector of H_ω corresponding to the interval I. The result is obtained through the control of the decay of the eigenfunctions of H_ω and covers, in the discrete case, the Anderson tight-binding model with Bernoulli potential (dimension ν=1) or singular potential (ν>1), and in the continuous case Anderson as well as random Landau Hamiltonians. (orig.)