The molecular structure and the conformational composition of fumaryl fluoride were determined by low‐temperature vibrational spectroscopy and single‐crystal X‐ray structure analysis. Three planar rotational isomers, trans‐trans‐, cis‐cis‐ and cis‐trans‐fumaryl fluoride were identified. C4H2F2O2 crystallizes in the monoclinic space group P21/c with four formula units per unit cell. Besides, Lewis acid‐base adducts between fumaryl fluoride and arsenic pentafluoride were synthesized. These adducts, which contain O–As bonding interactions, were found to crystallize as the monoadducts trans‐cis‐C4H2F2O2·AsF5 and cis‐trans‐C4H2F2O2·AsF5. Moreover, the diadduct trans‐trans‐C4H2F2O2·2 AsF5 was determined by X‐ray crystallography. The experimental data are discussed together with quantum chemical calculations of trans‐trans‐, cis‐cis‐, and cis‐trans‐fumaryl fluoride.