Yes, they do! Plants produce offspring by sexual reproduction which requires gametes, and all other parts of the plants are made of somatic cells.

Do plant cells have somatic cells?

Thomas Laux has discovered a regulatory pathway that turns plants' ordinary somatic cells into germ cells for sexual reproduction. ... In contrast to humans and animals, plants do not set aside a specialized cell lineage (germline) for the future production of gametes during early embryogenesis.

Where are somatic cells found?

Every other cell type in the mammalian body, apart from the sperm and ova, the cells from which they are made (gametocytes) and undifferentiated stem cells, is a somatic cell; internal organs skin, bones, blood and connective tissue are all made up of somatic cells.