This paper presents the effects of quantum confinements on the surface potential, threshold voltage, drain current, transconductance, and drain conductance of a Dual Material Double Gate Junctionless Field Effect Nanowire Transistor (DMDG-JLFENT). The carrier energy quantization on the threshold voltage of a DMDG-JLFENT is modeled, and subsequently, other parameters like drain current were analytically presented. The QME considered here is obtained under the quantum confinement condition for an ultra-thin channel, i.e., below 10 nm of Si thickness. The threshold voltage shift due to QME can be used as a quantum correction term for compact modeling of junctionless transistors. The analytical model proposed for surface potential, threshold voltage, drain current, transconductance, and drain conductance were verified by TCAD 3-D quantum simulation results which makes it suitable for SPICE compact modeling.