  We investigate the constant-roll inflation with non-minimally kinetic
coupling to the Einstein tensor. With the slow-roll parameter $\eta_\phi =
-\ddot{\phi}/(H\dot{\phi})$ being a constant, we calculate the power spectra
for scalar and tensor perturbations, and derive the expressions for the scalar
spectral tilt $n_s$, the tensor spectral tilt $n_T$, and the tensor-to-scalar
ratio $r$. We find that the expressions for $n_s$ are different with different
ordering of taking the derivative of the scalar power spectrum with respect to
the scale $k$ and the horizon crossing condition $c_sk=aH$ in the constant-roll
inflation, the consistency relation $r=-8n_T$ does not hold if $|\eta_\phi|$ is
not small, and the duality of the tensor-to-scalar ratio between the slow-roll
inflation and ultra-slow-roll inflation does not exist in inflationary models
with non-minimally derivative coupling. The result offers a fresh perspective
on the understanding of the inflationary models with non-minimally derivative
coupling and is helpful for the production of scalar induced gravitational
waves in the framework of ultra-slow-roll inflation with non-minimally
derivative coupling.
