Thysanocarpus conchuliferus is a rare species of flowering plant in the mustard family known by the common name Santa Cruz Island fringepod.

[5] The plant's habitat is the coastal scrub on the rocky, windblown slopes and canyons of its single island.

The inflorescence is a dense raceme of flowers with four spoon-shaped white to purple petals each about 2 millimeters long.

The fruit is a flat, round, disc-like capsule with a fringed, often perforated wing encircling it.

[5] The feral pigs, which damaged many populations of rare plants, have been removed from the Channel Islands.