There are at least two plants in the photo but one is obviously English ivy, Hedera helix. It is an invasive plant in a number of areas (especially here in my area of the PNW). It is difficult to remove from surfaces, as it attaches itself with very persistent little rootlets and it does provide a habituate for unwanted wildlife as well as holding moisture against the underlying surfaces.

Because ivy has such a glossy, waxy surface to the foliage, most herbicides cannot penetrate to do their damage. Manual removal is the most effective control but you must get all the roots as well......small portions of root left in the ground can sprout new growth very easily.

Here is a link that might be useful: English ivy removal