  We study the anomalous $t\bar{t}Z$ couplings in the $t\bar{t}Z$ production in
leptonic final state at the $13$ TeV LHC. We use the polarizations of top
quarks and $Z$ boson, two-body and three-body spin correlations among the top
quarks and $Z$ boson, and the cross section to probe the anomalous couplings.
We estimate one parameter and simultaneous limits on the couplings of the
effective vertex as well as the effective operators for a set of luminosities
$150$ fb$^{-1}$, $300$ fb$^{-1}$, $1000$ fb$^{-1}$, and $3000$ fb$^{-1}$. The
polarizations and the spin correlations are found to be helpful on top of the
cross section to better constrain the anomalous couplings.
