A new parameterization for the dark energy equation of state ( EoS ) is proposed and some of its cosmological consequences are also investigated . This new parameterization is the modification of Efstathiou ’ dark energy EoS parameterization . w ( z ) is a well behaved function for z \gg 1 and has same behavior in z at low redshifts with Efstathiou ’ parameterization . In this parameterization there are two free parameter w _ { 0 } and w _ { a } . We discuss the constraints on this model ’ s parameters from current observational data . The best fit values of the cosmological parameters with 1 \sigma confidence-level regions are : \Omega _ { m } = 0.2735 ^ { +0.0171 } _ { -0.0163 } , w _ { 0 } = -1.0537 ^ { +0.1432 } _ { -0.1511 } and w _ { a } = 0.2738 ^ { +0.8018 } _ { -0.8288 } .