  We report the discovery of persistent hard X-ray emission extending up to 150
keV from the soft gamma-ray repeater SGR 1806-20 using data obtained with the
INTEGRAL satellite in 2003-2004. Previous observations of hard X-rays from
objects of this class were limited to short duration bursts and rare transient
episodes of strongly enhanced luminosity (``flares''). The emission observed
with the IBIS instrument above 20 keV has a power law spectrum with photon
index in the range 1.5-1.9 and a flux of 3 milliCrabs, corresponding to a
20-100 keV luminosity of ~10^36 erg s^-1 (for a distance of 15 kpc). The
spectral hardness and the luminosity correlate with the level of source
activity as measured from the number of emitted bursts.
