Native to Eurasia and the Mediterranean, dill is most at home in warmer climates. Itâ??s an annual herb, so to create a permanent patch of dill, allow some of the plants to flower and go to seed each yearâ??youâ??ll have plenty of early dill to start the next growing season. Dill attracts beneficial insects such as wasps and other predatory insects to your garden, and is a host plant for the caterpillar of the black swallowtail butterfly.