In the paper the author has presented traits of the theory of punctuated equilibria and of methodology of scientific research programmes. From the point of view of the latter, the evolutionary theory stepped into the degenerative phase of its development, because it does not predict any new discoveries from the fossil record. Moreover, there are two major doubts. First, the punctualist theory may lead into a blind alley rather than opening a new vista. Second, Lacatos' theory does not seem to be a proper instrument in evaluating the progress of science, because it does not compel anyone to make methodological evaluations and decisions.