  We derive the reconstruction formulae for the inflation model with the
non-minimal derivative coupling term. If reconstructing the potential from the
tensor-to-scalar ratio, we could obtain the potential without using the high
friction limit. As an example, we reconstruct the potential from the
parametrization $r=8\alpha/(N+\beta)^{\gamma}$, which is a general form of the
$\alpha$-attractor. The reconstructed potential has the same asymptotic
behavior as the T- and E-model if we choose $\gamma=2$ and $\alpha\ll1$. We
also discuss the constraints from the reheating phase preceding the radiation
domination by assuming the parameter $w_{re}$ of state equation during
reheating is a constant. The scale of big-bang nucleosynthesis could put a up
limit on $n_s$ if $w_{re}=2/3$ and a low limit on $n_s$ if $w_{re}=1/6$.
