In the present paper, we introduce a new type of convergence, called standard convergence (or std-convergence), in an intuitionistic fuzzy normed linear space (IFNLS). We have also introduced the concept of std-Cauchyness and proved that these notions are stronger than usual convergence and usual Cauchyness in an IFNLS. Further, we have shown that these two notions are not directly compatible with each other and hence, defined the notion of strong std-convergence which is compatible with std-Cauchy sequences