  We consider the non-minimally kinetic coupled version of DGP brane model,
where the kinetic term of the scalar field is coupled to the metric and
Einstein tensor on the brane by a coupling constant $\zeta$. We obtain the
corresponding field equations, using the Friedmann-Robertson-Walker metric and
the perfect fluid, and study the inflationary scenario to confront the
numerical analysis of six typical scalar field potentials with the current
observational results. We find that among the suggested potentials and coupling
constants, subject to the e-folding $N=60$, the potentials
$V(\phi)=\sigma\phi$, $V(\phi)=\sigma\phi^2$ and $V(\phi)=\sigma\phi^3$ provide
the best fits with both Planck+WP+highL data and Planck+WP+highL+BICEP2 data.
