Jasmine ground cover, otherwise known as asiatic jasmine, can be a blessing or a curse, depending on the gardener. Some see it as a beautiful fragrant spread, others see it as an annoying weed. This is because it is beautiful, but also a rapid grower and can take over other plants easily that is hard to stop. The best way to destroy jasmine ground cover is by hard manual labor, including pulling up all the cover including roots, then using herbicides to halt new growth. The best time to remove jasmine is in the late fall season.
Mow on your mower's lowest setting over all the jasmine ground cover a few days before you plan on removing it.
Water the entire area where the ground cover is located deeply the day before you plan on destroying it. This is to soften the soil and the roots, making the removal easier.
Put on your garden gloves the next day to protect your hands. Firmly grasp the jasmine in your hands right at the base of the root and pull up quickly, putting your body weight into it to remove as much of the root as possible. Ideally, you want to pull up not just the plant, but the root and runner vines. Pull out as much as you can in this manner.
Go back over the areas you pulled up with your trowel or shovel, digging into the soil to remove any roots or root pieces, as well as searching for any sort of runners or jasmine left. Go back over the soil with a rake once you are done with this to search even more thoroughly and to even out the ground. Discard of the jasmine plant pieces in a trash can or a compost pile.
Spray an herbicide such as Round-Up all throughout the freshly raked ground to discourage new jasmine sprouts from germinating. Mix it into the soil with the shovel by scooping up soil and turning it over again.