By the counterpoise-correlated potential energy surface method (interaction energy optimization), the structure of the pi H-bond complex FH...C4H4...HF has been obtained at the second-order Moller-Plesset perturbation theory (MP2/aug-cc-pVDZ) level. Intermolecular interaction energy of the complex is calculated to be -7.8 kcal/mol at the coupled-cluster theory with single, double substitutions and perturbatively linked triple excitations CCSD (T)/aug-cc-pVDZ level. The optimized structure is a "wheel with a pair of pedals" shaped (1\1) structure in which both HF molecules almost lie on either vertical line passing through the middle-point of the C=C bond on either side of the horizontal plane of the C-4 ring for cyclobutadiene. In the structure, an antiaromatic ring pi-dihydrogen bond is found, in which the proton acceptor is antiaromatic 4 electron and 4 center pi bond and the donors are both acidic H atoms of HF molecules. In accompanying with the pi-dihydrogen bond, two secondary interactions are exposed. The first is a repulsive interaction between an H atom of HF and a near pair of H atoms of C4H4 ring. The second is the double pi-type H bond between two lone pairs on a F atom and a far pair of H atoms. (C) 2004 American Institute of Physics.