  The current data of the two long-baseline accelerator experiments NO$\nu$A
and T2K, shows a tension at more than 90$\%$ C.L. for 2 degrees of freedom, in
the determination of the standard CP-phase $\delta_{\mathrm {CP}}$ in case of
neutrino normal ordering (NO). NO$\nu$A measures the value close to
$\delta_{\mathrm {CP}} \sim 0.8 \pi$, while T2K prefers the value of
$\delta_{\mathrm {CP}} \sim 1.4 \pi$. We show that such a tension can be
resolved if one hypothesizes the existence of neutral-current non-standard
interactions (NSI) of neutrinos involving the flavor changing type $e-\mu$ or
the $e-\tau$ sectors with couplings $|\varepsilon_{e\mu}| \sim
|\varepsilon_{e\tau}|\sim 0.2$. Remarkably, our analyses show that in the
presence of such NSI, both the experiments point towards the same common value
of the standard CP-phase $\delta_{\mathrm {CP}} \sim 3\pi/2$, thereby
indicating towards the maximal CP-violation in the standard $3\nu$ framework.
We also show that the best fit values of the new CP-phases $\phi_{e\mu}$ or $
\phi_{e\tau}$ are close to $\sim 3\pi/2$, hence pointing towards the maximal
CP-violation in the NSI sector.
