In this paper, we discuss the transformation of a normed vector lattice definition into a 2-normed vector lattice definition and examine the definition of n-Banach lattice given by Sap. and Gungor in [A note on n-Banach lattices, J. Appl. Funct. Anal., 2015]. We also give definitions of an almost 2-normed vector lattice and an almost 2-Banach lattice. Then, some theoretical examples and results are given.