An operator T ∈ B(H) is called quasi ∗-paranormal if ||T ∗Tx||2 ≤ ||T x|||Tx|| for all x ∈ H. If μ is an isolated point of the spectrum of T , then the Riesz idempotent E of T with respect to μ is defined by

The new type of paranormal operators that have been defined in this study on the Hilbert space, is operators. In paper we introduce and discuss some properties concept such as: sum product two paranormal, power paranormal. Further, relationships between other kinds studied.