  Multi-wavelength properties of the nearby Supernova(SN)-associated
low-luminosity GRB 171205A are investigated in depth to constrain its
physicalan origin synthetically. The pulse width is found to be correlated with
energy with a power-law index of $-0.24\pm0.07 $, which is consistent with the
indices of other SN/GRBs but larger than those of long GRBs. By analyzing the
overall light curve of its prompt gamma-rays and X-ray plateaus simultaneously,
we infer that the early X-rays together with the gamma-rays should reflect the
activities of central engine while the late X-rays may be dominated by the
interaction of external shocks with circumburst material. In addition, we find
that the host radio flux and offset of GRB 171205A are similar to those of
other nearby low-luminosity GRBs. We adopt 9 SN/GRBs with measured offset to
build a relation between peak luminosity ($L_{\gamma,p}$) and spectral lag
($\tau$) as $L_{\gamma,p}\propto\tau^{-1.91\pm0.33}$. The peak luminosity and
the projected physical offset of both 12 SN/GRBs and 10 KN/GRBs are found to be
moderately correlated, suggesting their different progenitors. The
multi-wavelength afterglow fitted with a top-hat jet model indicates that the
jet half-opening angle and the viewing angle of GRB 171205A are $\thicksim$
34.4 and 41.8 degrees, respectively, which implies that the off-axis emissions
are dominated by the peripheral cocoon rather than the jet core.
