The purpose of this paper is to introduce some new classes of operators, called [DN], [nDN], [DQN], [nDQN], associated with a Drazin invertible operator using its Drazin inverse. [nDN] and [nDQN] operatots extend the notion of [DN] and [DQN] operators, respectively. The relations between these classes and some basic properties of these operators are studied in this study.
