Fill 4-inch pots with well-drained potting soil. Prepare one pot for each cutting.
Water the soil thoroughly, until water comes out the bottom drainage holes.
Examine the tarragon plant in the spring and find stems that are 4 to 6 inches in length.
Cut the stems, early in the morning, right below the leaf node. The leaf node is where the leaves come out. Wrap the stems in damp paper towels so they do not dry out before you can plant them.
Remove the leaves from the lower third of the stem. Do not remove the top three to four leaves.
Dip the cut end in a glass of water and shake off the excess water.
Dip the wet end into rooting hormone and tap the end to remove the excess.
Poke a hole into the soil with a pencil and insert the tarragon end with rooting hormone into the hole.
Firm the soil around the cutting with your fingers.
Place a clear plastic bag over the pot, leaving the bag open to allow for air circulation.
Place in a bright window, but not in direct sunlight.
Check the soil daily. Water the soil to keep it moist, but not soggy.
Check for roots after a month. If you see new growth on your cutting, that means that roots have formed. Remove the plastic bag.
Transplant out in the prepared garden or continue to grow in the pot.