[en] This work reviews progress in the field of the dynamics of disordered condensed matter, encompassing materials where at least one component lacks either rotational or translational long-range order. Systems in thermodynamic equilibrium as well as those where some aspect of the disorder is frozen into a glassy state are discussed. The most relevant experimental methods are reviewed, as well as recent advances in computer simulation, which is becoming increasingly important in this field. Examples of recent applications of these techniques to study the various aspects of dynamical disorder are then provided. The final section highlights common features of the dynamics exhibited by different systems, and discusses prospects for the future development of the field