This paper introduces new analytical expressions that relate between voltage and current of a nonlinear two-port network. These formulas are defined and derived, analytically, from <inline-formula> <tex-math notation="LaTeX">{X} </tex-math></inline-formula>-parameters. They are also extension of the well-known linear two-port network parameters. These formulations are defined as follows. Linearized impedance parameters (<inline-formula> <tex-math notation="LaTeX">{Z} </tex-math></inline-formula>-parameters) relate harmonic voltage components to harmonic current components at both network ports. Linearized admittance parameters are the inverse of linearized <inline-formula> <tex-math notation="LaTeX">{Z} </tex-math></inline-formula>-parameters and relate harmonic current components to harmonic voltage components. Linearized cascade parameters and linearized scattering transfer parameters relate entities at the input to that ones at the output of the network. Linearized hybrid parameters and linearized inverse hybrid parameters are defined in terms of a mixture of port variables. The proposed approach has been evaluated, and very good agreement has been obtained.