We report BeppoSAX and optical observations of the black hole candidate GX 339-4 during its X-ray `off state in 1999. The broad-band (0.8-50 keV) X-ray emission can be fitted by a single power law with spectral index, alpha ~1.6. The observed luminosity is 6.6e33 erg s^{-1} in the 0.5-10 keV band, which is at the higher end of the flux distribution of black hole soft X-ray transients in quiescence, comparable to that seen in GS 2023+338 and 4U 1630-47. An optical observation just before the BeppoSAX observation shows the source to be very faint at these wavelengths as well (B=20.1, V=19.2). By comparing with previously reported `off and low states (LS), we conclude that the `off state is actually an extension of the LS, i.e. a LS at lower intensities. We propose that accretion models such as the advection-dominated accretion flows are able to explain the observed properties in such a state.
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