Abstract
In this paper, we introduce and analyze a new class of generalized paranormal opera-tors, namely k-quasi -A-paranormal operators for a bounded linear operator acting on a complex Hilbert space H when an additional semi-inner product induced by a positive operator A is considered. After establishing the basic properties of such operators. We extend some results obtained in several papers related to this class on a Hilbert space. In addition, we characterize the spectra and tensor product of these operators.