The energy spectrum of Mkn501 in the TeV energy regime, as measured by the HEGRA (High Energy Gamma Ray Astronomy) Cerenkov telescopes during its low state in 1995/96 and during a fraction of the 1997 outburst in the TeV energy regime,is shown to place stringent upper limits on the still unknown infrared photon density in the energy region between 3 . 10(-3) and 3 , 10(-1) eV. Assuming two different shapes for the unknown infrared photon spectrum in this energy range, we calculate upper limits on the infrared photon density on the basis of the power-law fit obtained for the observed spectrum up to the maximum energy. (C) 1998 Elsevier Science B.V.