Select a suitable vine for layering from the side of a mature, well-established peacock jasmine. Choose one with a healthy stem and foliage but no flower buds.
Bend the vine down towards the ground so that a 2-inch-long section rests flat against the soil. Dig a 3-inch-deep hole using a garden trowel at the point where the bent vine touches the ground.
Lightly scrape the underside of the peacock jasmine vine using a utility knife. Scrape away a 1/2-inch portion of bark to expose the cambium, or vascular inner bark.
Coat the scraped area of the peacock jasmine vine with 0.3-percent IBA rooting hormone. Apply the hormone with a small brush or dab it on with a cotton swab.
Place the hormone-coated portion of the peacock jasmine vine into the prepared hole. Hold the vine in place while filling the hole with loosened soil. Place a large stone or brick on the soil above the vine to anchor it down.
Water the peacock jasmine vine to a depth of 3 inches immediately after burying it. Decrease watering to 1 inch every five days after that.
Check for root growth in 14 to 21 days. Sever the vine connecting the rooted cutting to the parent plant using a utility knife once it is rooted. Cut the vine flush with the surface of the soil.
Dig up the rooted peacock jasmine vine using a garden trowel. Pot it in a large plastic container filled with standard garden soil, transplant it to a different area of the garden or leave it to grow where it was rooted.
Prepare a pot before taking cuttings from the peacock jasmine plant. Mix equal measures coir or peat moss with perlite. Fill a 4-inch plastic pot with the mixture. Wet the mixture with 1 cup of water.
Select a cutting from a vine with mature wood. Measure out a 5- to 7-inch-long portion of the vine. Make the cut at a slight angle using a utility knife or a pair of sharp scissors.
Cut off the bottom set of leaves. Dip the base of the peacock jasmine cutting into 0.3-percent IBA rooting hormone to help encourage the production of roots.
Push the hormone-coated base of the peacock jasmine cutting into the prepared rooting pot. Press it in until the lower leaves rest 1/8 inch above the surface of the soil. Pinch the soil firmly against the vine.
Place the potted peacock jasmine cutting somewhere with filtered sunlight, protection from the wind and temperatures above 68 degrees F. Mist the cutting with a plant mister at least three times a day to keep the foliage hydrated, or place the pot under an intermittent misting system inside a greenhouse with 50-percent shade cloth.
Check for roots in 14 to 21 days by gently pulling on the base of the vine to feel for resistance. Repot the rooted peacock jasmine vine into a large nursery container filled with rich potting soil or a mixture of equal parts compost and garden soil.
Keep the peacock jasmine plant in half sun for one to two weeks before planting it in a permanent bed.