Extensive progress has been made recently in understanding the mechanism by which cells move and extend protrusions using site-directed polymerization of actin in response to signalling. Insights into the molecular mechanism of production of force and movement by actin polymerization have been provided by a crosstalk between several disciplines, including biochemistry, biomimetic approaches and computational studies. This review focuses on the biochemical properties of the proteins involved in actin-based motility and shows how these properties are used to generate models of force production, how the predictions of different theoretical models are tested using a biochemically controlled reconstituted motility assay and how the changes in motility resulting from changes to the concentrations of components of the assay can help understand diverse aspects of the motile behavior of living cells.