Grapevines are typically desirable vegetation on farms and in backyards, both as ornamental plants and as fruit-producing vines. If your grapevines start to grow out of control, of if you've recently purchased land that had pre-existing, unwanted grapevines, use a combination of manual and chemical control to kill the vines and keep them from growing back.
Uproot the grapevines. This is ideal for juvenile vines and seedlings that have yet to establish a woody growth structure. Grasp the vine at its base and pull away from the soil. You may wish to use a spade to make removal easier.
Cut down the grapevines if they have already become mature and woody. Use pruning shears or a saw to remove the grapevine's side branches, unwinding them from your trellis or fence if necessary.
Chop down the main stalk to a height of 3 to 4 inches from the ground. Clear away all debris created during the cutting process.
Paint the remaining stump with a standard root killer herbicide, available from all nurseries and garden stores. This kills the grapevine's underground root network and prevents the stump from sending up new shoots. Coat all exposed areas of the cut stump according to the herbicide's label, as toxicity varies by product.