Integrin adhesion receptors connect the extracellular matrix (ECM) to the cytoskeleton and serve as bidirectional mechanotransducers. During development, angiogenesis, wound healing and cancer progression, the relative abundance of fibronectin receptors, including integrins a5b1 and avb3, changes, thus altering the integrin composition of cell-matrix adhesions. Here, we show that enhanced avb3 expression can fully compensate for loss of a5b1 and other b1 integrins to support outside-in and inside-out force transmission. a5b1 and avb3 each mediate actin cytoskeletal remodeling in response to stiffening or cyclic stretching of the ECM. Likewise, a5b1 and avb3 support cellular traction forces of comparable magnitudes and similarly increase these forces in response to ECM stiffening. However, cells using avb3 respond to lower stiffness ranges, reorganize their actin cytoskeleton more substantially in response to stretch, and show more randomly oriented traction forces. Centripetal traction force orientation requires long stress fibers that are formed through the action of Rho kinase (ROCK) and myosin II, and that are supported by a5b1. Thus, altering the relative abundance of fibronectin-binding integrins in cell-matrix adhesions affects the spatiotemporal organization of force transmission.