  We investigate how the constraint results of inflation models are affected by
considering the latest local measurement of $H_0$ in the global fit. We use the
observational data, including the Planck CMB full data, the BICEP2 and Keck
Array CMB B-mode data, the BAO data, and the latest measurement of Hubble
constant, to constrain the $\Lambda$CDM+$r$+$N_{\rm eff}$ model, and the
obtained 1$\sigma$ and 2$\sigma$ contours of $(n_s, r)$ are compared to the
theoretical predictions of selected inflationary models. We find that, in this
fit, the scale invariance is only excluded at the 3.3$\sigma$ level, and
$\Delta N_{\rm eff}>0$ is favored at the 1.6$\sigma$ level. The natural
inflation model is now excluded at more than 2$\sigma$ level; the Starobinsky
$R^2$ model becomes only favored at around 2$\sigma$ level; the most favored
model becomes the spontaneously broken SUSY inflation model; and, the brane
inflation model is also well consistent with the current data, in this case.
