  The structure of light quark star is studied within a new two-flavor NJL
model. By retaining the contribution from the vector term in the
Fierz-transformed Lagrangian, a two-solar-mass pure quark star is achieved. To
overcome the disadvantage of three-momentum truncation in the regularisation
procedure, we introduce the proper-time regularisation. We also employ the
newly proposed definition of vacuum pressure, in which the quasi-Wigner vacuum
(corresponding to the quasi-Winger solution of the gap equation) is used as the
reference ground state. Free parameter includes only a mixing constant $\alpha$
which weighs contribution from Fierz-transformed Lagrangian. We constrain
$\alpha$ to be around $0.9$ by the observed mass of pulsars $PSR J0348+0432$
and $PSR J1614-2230$. We find the calculated surface energy density meets the
requirement ($> 2.80\times10^{14}$g/cm$^3 $). Besides, for a 1.4 solar mass
star, the tidal Love number $k_2$ and deformability $\Lambda$ are calculated
which satisfies the constrain $200 < \Lambda < 800$.
