\input zb-basic \input zb-ioport \iteman{io-port 06055333} \itemau{Batueva, Ts.Ch.-D.} \itemti{Lattices of convex subsets.} \itemso{Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 11, No. 3, 85-94 (2011).} \itemab Summary: We give a characterization of the class of lattices isomorphic to convexity lattices of posets of a finite length. Besides, we describe the class of finite lattices isomorphic to convexity lattices of $n$-ary forests for any integer $n\geq 1$. \itemrv{~} \itemcc{} \itemut{order-convexity; convexity lattices of posets; convexity lattices forests} \itemli{} \end