The so-called „Covering Law Model“ of explanation proposed by C. Hempel and R. Oppenheim was claimed to have been applied as an explanatory model in natural sciences as well as in humanities. Several objections were raised against this explanatory model during the second half of 20th century. This article considers the proposed criteria of adequacy of scientific explanation and, in particular, the possibilities and limitations connected with the idea of its applicability in the process of logical reconstruction of historical explanations. In the final part of the paper I introduce some remarks concerning the „methodological“ relation of dependence between the explanandum and the explanans which could also illuminate the proper role of this explanatory model in history.