  AI Hya has been known as an eclipsing binary with a monoperiodic $\delta$ Sct
pulsator. We present the results from its {\it TESS} photometry observed during
Sector 7. Including our five minimum epochs, the eclipse timing diagram
displays the apsidal motion with a rate of $\dot{\omega}$ = 0.075$\pm$0.031 deg
year$^{-1}$, which corresponds to an apsidal period of U = 4800$\pm$2000 years.
The binary star model represents that the smaller, less massive primary
component is 427 K hotter than the pulsating secondary, and our distance of
612$\pm$36 pc is in good agreement with the $Gaia$ distance of 644$\pm$26 pc.
We subtracted the binary effects from the observed {\it TESS} data and applied
a multifrequency analysis to these residuals. The result reveals that AI Hya is
multiperiodic in its pulsation. Of 14 signals detected, four ($f_1$, $f_2$,
$f_3$, $f_6$) may be considered independent pulsation frequencies. The period
ratios of $P_{\rm pul}/P_{\rm orb}$ = 0.012$-$0.021 and the pulsation constants
of $Q$ = 0.30$-$0.52 days correspond to $\delta$ Sct pulsations in binaries. We
found that the secondary component of AI Hya pulsates in both radial
fundamental $F$ modes ($f_2$ and $f_3$) and non-radial $g_1$ modes with a low
degree of $\ell$ = 2 ($f_1$ and $f_6$).
