Dynamically responsive liquid-infused interfacial materials have broad technological implications in manipulating droplet motions. However, present works are mainly about reversible tuning of the isotropic slippery surface; the reversible switching between isotropic and anisotropic sliding has not been deeply explored. Here, we report a kind of liquid-infused elastic-grooved surface (LIEGS) by femtosecond laser ablation and realize reversible switching between isotropic and anisotropic sliding by one-direction mechanical stretching. Under mechanical stretching and strain release, droplet motion can be reversibly switched between the sliding and pinned states along the perpendicular direction to the grooves, whereas the droplet keeps sliding along the parallel direction to the grooves. The mechanism of reversible switching mainly contributes to the decrease of film thickness during the stretching process in which the film thickness decreases from 13 to 4 mu m with the increase of the strain from 0 to 60%. Finally, we demonstrate the real-time flexible control over a droplet sliding/pinned on the strain-changing LIEGS.