plant whose stem (and branches) have a wood-like consistency (e.g.. trees. shrubs. and vines as well as palms. bamboos. and other woody monocots ).
woody plant (Wikipedia)
A woody plant is a plant that produces wood as its structural tissue and thus has a hard stem. In cold climates, woody plants further survive winter or dry season above ground, as opposed to herbaceous plants that die back to the ground until spring.
A section of rosemary stem, an example of a woody plant, showing a typical wood structure.