A series of isostructural hydrazinium lanthanide (Ln) formate framework compounds of [NH2NH3] [Ln(HCOO)(4)] for Ln(3+) ions from Tb3+ to Lu3+ and Y3+ have been successfully prepared by utilizing NH2NH3+. The compounds crystallize in orthorhombic polar space group Pca2(1), with cell parameters at 180 K of a = 18.2526(7)-18.1048(5) angstrom, b = 6.5815(2)-6.5261(2) angstrom, c = 7.6362(3)-7.5044(2) angstrom, and V = 917.33(6)-886.67(4) angstrom(3), showing the effect of lanthanide contraction. The compounds possess polar perovskite-like structures incorporating the hydrazinium cations in the cavities of the NaCl-like framework, in which the Ln(3+) ions in a bicapped trigonal prism are connected by anti-anti and syn-anti formate groups. The N-H center dot center dot center dot O-formate hydrogen-bonding interactions are between the hydrazinium cations and the anionic framework. One anti-anti formate group is frustrated by the competitive N-H center dot center dot center dot O-formate hydrogen-bonding interactions. It thus twists or flips upon warming, resulting in large anisotropic thermal expansion and negative thermal expansion below 180 K. A comparison with the transition metal and magnesium analogues revealed that the structural compactness, tighter binding of the hydrazinium cation by the framework, and symmetrically better match between the framework and ammonium cation for Ln compounds could inhibit the occurrence of phase transition in the series. The IR spectroscopic, thermal, and magnetic properties are investigated.