  In the present work, we reanalyzed the cross sections for $e^+ e^- \to
K^+K^-$, where a new structure $X(2240)$ was reported by BES III Collaboration.
By including the interference between the direct coupling and vector meson
intermediate processes, we find the mass and width of $X(2240)$ are $2197.4\pm
4.4$ MeV and $75.6\pm 7.2 $ MeV, respectively, which are well consistent with
the PDG average values of the resonance parameters for $Y(2175)$, thus, we
conclude that the $X(2240)$ should be the same state as the $Y(2175)$.
