In this paper, we introduce the definition of subcompatible maps and subcompatible maps of types (α) and (β), which are respectively weaker than compatible maps and compatible maps of types (α) and (β), in weak non-Archimedean intuitionistic fuzzy metric spaces and give some examples and relationship between these definitions. Thereafter, we prove common fixed point theorem for four subcompatible maps of type (α) in weak non-Archimedean intuitionistic fuzzy metric spaces. c 2016 All rights reserved.Keywords: Weak non-Archimedean intuitionistic fuzzy metric, subcompatible maps of types (α) and (β), common fixed point. 2010 MSC: 47H10, 54H25.