The aim of present article is to introduce the concepts of sp– convergent sequence in intuitionistic fuzzy metric spaces and analyze relations of convergence, sp– convergence, s∞– convergence and st– convergence in intuitionistic fuzzy metric spaces. Further, we examine sp– convergence, s∞– convergence and st– convergence using the subsequence of convergent sequence in intuitionistic fuzzy metric spaces. Stationary intuitionistic fuzzy metric spaces are defined and investigated. We Finally define sp– closed sets, s∞– closed sets and st– closed sets in intuitionistic fuzzy metric spaces and investigate relations of them.