To confirm how different anions influence sup-ramolecular self-assembly of lanthanide-organic frameworks (LnOFs) as well as their luminescent properties, a new flexible achiral tripodal ligand, 1,1,1-tris-{[(2'-benzylaminoformyl)phenoxyl]methyl}ethane (L) and the LnOFs {[EuL(NO(3))(3)]·1.5CHCl(3)}(n) and [EuL(pic)(3)](n) have been designed and assembled. In the two LnOFs, {[EuL(NO(3))(3)]·1.5CHCl(3)}(n) demonstrates an unprecedented chiral noninterpenetrated two-dimensional (2D) honeycomblike (6,3) (hcb, Schläfli symbol 6(3), vertex symbol 6·6·6) topological network, and [EuL(pic)(3)](n) confirms an unusual chiral LnOF with three-dimensional (3D) (10,3)-a (srs, SrSi(2), Schläfli symbol 10(3), vertex symbol 10(2)·10(4)·10(4)) topological framework. Also the anion-induced structures and energy transfer processes in the luminescence behavior of the two LnOFs were discussed in detail.