The Collaborative International Dictionary of English v.0.48:

Zoophyte \Zo"o*phyte\, n. [F. zoophyte, Gr. ?; zw^,on an animal
   + ? plant, akin to ? to be born, to be. See Zodiac, and
   Be, v. i.] (Zool.)
   (a) Any one of numerous species of invertebrate animals which
       more or less resemble plants in appearance, or mode of
       growth, as the corals, gorgonians, sea anemones,
       hydroids, bryozoans, sponges, etc., especially any of
       those that form compound colonies having a branched or
       treelike form, as many corals and hydroids.
   (b) Any one of the Zoophyta.
       [1913 Webster] Zoophytic

WordNet (r) 3.0 (2006):

zoophyte
    n 1: any of various invertebrate animals resembling a plant such
         as a sea anemone or coral or sponge