Muscle contraction and different forms of motility of nonmuscle cells depend on cyclic interactions between actin filaments and myosin motors. Calcium ions are the main intracellular signal, which induces activation of actin-myosin interactions. Depending on the cell type and the class of myosin, the molecular mechanisms of regulation are different and take place on two levels - actin filament and myosin. In striated muscle, the actin thin filament is regulated by the troponin-tropomyosin complex. In smooth muscle and nonmuscle cells, actin filaments are predominantly regulated by caldesmon. The control of myosin activity in these cells also depends on the myosin light chain phosphorylation and the phosphorylation of the heavy chain. Direct binding of calcium ions to the myosin light chains (which could be calmodulin molecules) was observed in myosin from molluscan muscle and in some unconventional myosins. Intensive world-wide studies allow us to understand details of the mechanisms of actin-myosin interactions. In this article, we present the contemporary view on these mechanisms.