Antibody 1E9 is a protein catalyst for the Diels-Alder reaction between tetrachlorothiophene dioxide and N-ethylmaleimide. Quantum mechanical calculations have been employed to study the 1E9-catalyzed Diels-Alder reaction in the gas phase. The transition states and intermediates were all determined at the B3LYP/6-31G*//HF/6-31G* level. The cycloaddition step is predicted to be rate-determining, and the endo reaction pathway is strongly favored. Binding of the reactants and the transition states to antibody 1E9 was investigated by docking and molecular dynamics simulations. The linear interaction energy (LIE) method was adopted to estimate the free energy barrier of the 1E9-catalyzed Diels-Alder reaction. The catalytic efficiency of antibody 1E9 is achieved by enthalpic stabilization of the transition state, near-perfect shape complementarity of the hydrophobic binding site for the transition state, and a strategically placed hydrogen-bonding interaction.