The bistramides family has shown antitumoral activity. More specifically bistramide K exhibits lower toxicity than its congeners. In this work, we describe a highly stereoselective and convergent synthesis of two building blocks of the marine metabolite bistramide K. Thus, we report the synthesis of fragments C1–C18 (89) and C19–C40 (81) of bistramide K. As a challenge, we have used nonracemic methyl p‐tolyl sulfoxide as unique source of chirality for the elaboration of all stereogenic centers of the natural compound.