A method is presented for estimating the strength distribution of noncovalent bondings in coal by use of differential scanning calorimetry (DSC) and thermogravimetry (TG). The idea of the method lies in the measurement of the enthalpy level of coal swollen by a nonpolar solvent, tetralin. The enthalpy level of tetralin-swollen coal, H(i), is different from the raw coal and tetralin by the energy required to break the noncovalent bonding, H(NC), and the interactive energy between tetralin and the coal functional groups, H(S-C). The value of H(i) was extracted from DSC and TG profiles measured while the tetralin-swollen coal, the raw coal, and tetralin were heated from room temperature to 220-degrees-C. The energy H(S-C) was estimated by analyzing the desorption profile of tetralin from an irreversibly swollen coal adsorbing tetralin. Thus the method to estimate the H(NC) value was established. By changing the swelling level of the tetralin-swollen coal, the H(NC) value was obtained against the amount of tetralin used for breaking the noncovalent bondings, n(Tet). From the H(NC) vs n(Tet) relationship the strength distribution of noncovalent bondings in coal was successfully estimated.