The paper tries to provide an alternative to C. G. Hempel’s approach to scientific laws and scientific explanation as given in his D-N model. It starts with a brief exposition of the main characteristics of Hempel’s approach to deductive explanations based on universal scientific laws and analyzes the problems and paradoxes inherent in this approach. By way of solution, it analyzes the scientific laws and explanations in classical mechanics and then reconstructs the corresponding models of explanation, as well as the types of scientific laws appearing in it. The paper makes an attempt to provide a new approach to scientific laws and scientific explanations. Based on my paper Hanzel (2007) I give a brief overview of Hempel’s approach to scientific laws and scientific explanation, as well as of its failures and paradoxes. As a way out, I analyze the scientific laws and explanations in classical mechanics and then reconstruct the corresponding models of explanation, as well as the types of scientific laws appearing in it. Finally, I provide a differentiated typology of scientific laws and scientific explanations.