Wanjala, VictorNyongesa, A. M.2021-06-292021-06-292020-01-11http://erepository.kibu.ac.ke/handle/123456789/2481: In this paper, we introduce the class of N quasi D-operator acting on the usual Hilbert space H over the complex plane. An operator T is said to be an N quasi D-operator if T(T ∗2 (T D) 2 ) = N(T ∗T D) 2T, where N is a bounded operator on H. We investigate the basic behavior of this class of operator.enAttribution-NonCommercial-ShareAlike 3.0 United Stateshttp://creativecommons.org/licenses/by-nc-sa/3.0/us/Normal operators, D-Operator, Almost Class (Q), quasi-class (Q) operators, N quasi D-operatorArticle