  PKS 0625-354 (z=0.055) was observed with the four H.E.S.S. telescopes in 2012
during 5.5 hours. The source was detected above an energy threshold of 200 GeV
at a significance level of 6.1$\sigma$. No significant variability is found in
these observations. The source is well described with a power-law spectrum with
photon index $\Gamma =2.84 \pm 0.50_{stat} \pm 0.10_{syst}$ and normalization
(at $E_0$=1.0 TeV) $N_0(E_0)=(0.58 \pm 0.22_{stat} \pm
0.12_{syst})\times10^{-12}$ TeV$^{-1}$cm$^{-2}$s$^{-1}$. Multi-wavelength data
collected with Fermi-LAT, Swift-XRT, Swift-UVOT, ATOM and WISE are also
analysed. Significant variability is observed only in the Fermi-LAT
$\gamma$-ray and Swift-XRT X-ray energy bands. Having a good multi-wavelength
coverage from radio to very high energy, we performed a broadband modelling
from two types of emission scenarios. The results from a one zone
lepto-hadronic, and a multi-zone leptonic models are compared and discussed. On
the grounds of energetics, our analysis favours a leptonic multi-zone model.
Models associated to the X-ray variability constraint supports previous results
suggesting a BL Lac nature of PKS 0625-354, with, however, a large-scale jet
structure typical of a radio galaxy.
